Chapter 6, Problem 21E

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 6, Problem 21E

Expert Solution & Answer

To determine

To write:

A script that will prompt the user to enter the coordinates of three points that determine a triangle, then calculate and print the area of the triangle and then call one function to calculate the area of the triangle by calling a local function that calculates the length of the side formed by any two points.

Answer to Problem 21E

Solution:

The function file is,

% MATLAB code to calculate the side length of the triangle.

%function file.

function [out] = sidetriangle(x1, y1, x2, y2)

%define the side of the triangle by using the function sidetriangle.

out = sqrt((x1-x2)^2+(y1-y2)^2);

end

% end of function

%The script file should be placed in the same folder.

The function file to calculate the area is,

% MATLAB code to calculate the area of the triangle and print the result.

%function file.

function areatriangle(x1, y1, x2, y2, x3, y3)

%define the area of triangle by using the function areatriangle.

a = sidetriangle(x1, y1, x2, y2);

%define the variable a.

b = sidetriangle(x2, y2, x3, y3);

%define the variable b.

c = sidetriangle(x3, y3, x1, y1);

%define the variable c.

s = (a+b+c)/2;

%define the variable s.

area = sqrt (s*(s-a)*(s-b)*(s-c));

fprintf('Area of the triangle is %3.2f\n', area);

%print the area of the triangle.

end

% end of function

%The script file should be placed in the same folder.

The script file is,

% MATLAB code to calculate the area of the triangle by calling a function.

%script file.

point1 = input('the coordinates of the fist point is entered:');

%enter the coordinates of the first point.

point2 = input('the coordinates of the second point is entered:');

%enter the coordinates of the second point.

point3 = input('the coordinates of the third point is entered:');

%enter the coordinates of the third point.

x1 = point1(1);y1 = point1(2);

%define the variable x1.

x2 = point2(1);y2 = point2(2);

%define the variable x2.

x3 = point3(1);y3 = point3(2);

%define the variable x3.

areatriangle(x1, y1, x2, y2, x3, y3)

% end of file

%The script file should be placed in the same folder.

Explanation of Solution

The given two points are (x1,y1) and (x2,y2).

The formula for the distance between the two points is given as,

distance=(x1−x2)2+(y1−y2)2

Substitute 0 for x1, 5 for x2, 0 for y1 and 0 for y2 in the above formula.

distance=(0−5)2+(0−0)2distance=5

Consider the three points are (0,0), (5,0) and (5,5).

The side of the triangle is,

a=(x1−x2)2+(y1−y2)2

Substitute 0 for x1, 5 for x2, 0 for y1 and 0 for y2 in the above formula.

a=(0−5)2+(0−0)2a=5

The side of the triangle is,

b=(x2−x3)2+(y2−y3)2

Substitute 5 for x2, 5 for x3, 0 for y2 and 5 for y3 in the above formula.

b=(5−5)2+(0−5)2b=5

The side of the triangle is,

c=(x3−x1)2+(y3−y1)2

Substitute 5 for x3, 0 for x1, 5 for y3 and 0 for y1 in the above formula.

c=(5−0)2+(5−0)2c=52

The formula for half sum of the sides of the triangle is,

s=a+b+c2

Substitute 5 for a, 5 for b and 52 for c in the above formula.

s=5+5+522s=8.5355

The formula for the area of the triangle is,

area=s(s−a)(s−b)(s−c)

Substitute 5 for a, 5 for b, 52 for c and 8.5355 for s in the above formula.

area=8.5355(8.5355−5)(8.5355−5)(8.5355−52)area=12.5000

MATLAB Code:

clc

clear all

close all

% MATLAB code to calculate the side length of the triangle.

%function file.

function [out] = sidetriangle(x1, y1, x2, y2)

%define the side of the triangle by using the function sidetriangle.

out = sqrt((x1-x2)^2+(y1-y2)^2);

end

% end of function

%The script file should be placed in the same folder.

% MATLAB code to calculate the area of the triangle and print the result.

%function file.

function areatriangle(x1, y1, x2, y2, x3, y3)

%define the area of triangle by using the function areatriangle.

a = sidetriangle(x1, y1, x2, y2);

%define the variable a.

b = sidetriangle(x2, y2, x3, y3);

%define the variable b.

c = sidetriangle(x3, y3, x1, y1);

%define the variable c.

s = (a+b+c)/2;

%define the variable s.

area = sqrt (s*(s-a)*(s-b)*(s-c));

fprintf('Area of the triangle is %3.2f\n', area);

%print the area of the triangle.

end

% end of function

%The script file should be placed in the same folder.

% MATLAB code to calculate the area of the triangle by calling a function.

%script file.

point1 = input('the coordinates of the fist point is entered:');

%enter the coordinates of the first point.

point2 = input('the coordinates of the second point is entered:');

%enter the coordinates of the second point.

point3 = input('the coordinates of the third point is entered:');

%enter the coordinates of the third point.

x1 = point1(1);y1 = point1(2);

%define the variable x1.

x2 = point2(1);y2 = point2(2);

%define the variable x2.

x3 = point3(1);y3 = point3(2);

%define the variable x3.

areatriangle(x1, y1, x2, y2, x3, y3)

% end of file

%The script file should be placed in the same folder.

Save the MATLAB scripts with names, sidetriangle.m, areatriangle.m and areacall.m in the current folder. Execute the script by typing the script name at the command window to generate result.

Result:

The results are,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 1

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 2

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 3

Therefore, the results and script files are stated above.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Children develop different patterns of attachment based on interactions with their caregivers at young age (Wikipedia). Certain study attempt to find the association between Child Care and Attachment Pattern Classification. Below table summarizes the collected data. Hours in Child Care Low Moderate High Attachment Pattern (0-3 hours) (4-19 hours) (20-54 hours) Secure 24 35 5 Anxious 11 10 8 Carryout an appropriate test to see if there is an association between amount of time spend on Child Care and Attachment Pattern of the children. 6. In order to answer the same research question as in previous parts in this problem, can we do a hypothesis test for comparing two independent proportions while keeping the existing categories as they are? Explain your answer rather than simply saying "yes" or "no".

This questions has multiple subparts. For your convenience, the description of the problem is provided with each component. Children develop different patterns of attachment based on interactions with their caregivers at young age (Wikipedia). Certain study attempt to find the association between Child Care and Attachment Pattern Classification. Below table summarizes the collected data. Hours in Child Care Low Moderate High Attachment Pattern (0-3 hours) (4-19 hours) (20-54 hours) Secure 24 35 5 Anxious 11 10 8 Carryout an appropriate test to see if there is an association between amount of time spend on Child Care and Attachment Pattern of the children. 1. The null hypothesis is [Select] and the alternative hypothesis is [Select] [Select] 2. The test statistic is 3. Degrees of freedom 4. P-value is [Select] True proportion of children with secure pattern when low number of hours in child care and true proportion of children with anxious pattern when low number of hours in child Hours…

Does money buy happiness? This is an age-old question. A random sample of 1993 subjects were asked to rate their happiness (Not too happy, Pretty happy, or Very happy) and also report their level of income (Above average, average, below average). The table of the observations is presented below. Income Not too happy Pretty happy Very happy Total Above Average 26 233 164 423 Average 117 473 293 883 Below Average 172 383 132 687 Total 315 1089 589 1993 1. Which variable is the response and which is the explanatory variable? [Select] 2. What are the null and alternative hypotheses for testing if there is a relationship between level of income and happiness? [Select] and H₁ is [Select] Ho is 3. What is the chi-square test statistic? [Select] 4. Which cell contributed the most to the overall chi-square test statistic? [Select] 5. What are the degrees of freedom? [Select] 6. What is the decision about Ho? [Select]

Answer 2

Question

Chapter 6, Problem 21E

Expert Solution & Answer

To determine

To write:

A script that will prompt the user to enter the coordinates of three points that determine a triangle, then calculate and print the area of the triangle and then call one function to calculate the area of the triangle by calling a local function that calculates the length of the side formed by any two points.

Answer to Problem 21E

Solution:

The function file is,

% MATLAB code to calculate the side length of the triangle.

%function file.

function [out] = sidetriangle(x1, y1, x2, y2)

%define the side of the triangle by using the function sidetriangle.

out = sqrt((x1-x2)^2+(y1-y2)^2);

end

% end of function

%The script file should be placed in the same folder.

The function file to calculate the area is,

% MATLAB code to calculate the area of the triangle and print the result.

%function file.

function areatriangle(x1, y1, x2, y2, x3, y3)

%define the area of triangle by using the function areatriangle.

a = sidetriangle(x1, y1, x2, y2);

%define the variable a.

b = sidetriangle(x2, y2, x3, y3);

%define the variable b.

c = sidetriangle(x3, y3, x1, y1);

%define the variable c.

s = (a+b+c)/2;

%define the variable s.

area = sqrt (s*(s-a)*(s-b)*(s-c));

fprintf('Area of the triangle is %3.2f\n', area);

%print the area of the triangle.

end

% end of function

%The script file should be placed in the same folder.

The script file is,

% MATLAB code to calculate the area of the triangle by calling a function.

%script file.

point1 = input('the coordinates of the fist point is entered:');

%enter the coordinates of the first point.

point2 = input('the coordinates of the second point is entered:');

%enter the coordinates of the second point.

point3 = input('the coordinates of the third point is entered:');

%enter the coordinates of the third point.

x1 = point1(1);y1 = point1(2);

%define the variable x1.

x2 = point2(1);y2 = point2(2);

%define the variable x2.

x3 = point3(1);y3 = point3(2);

%define the variable x3.

areatriangle(x1, y1, x2, y2, x3, y3)

% end of file

%The script file should be placed in the same folder.

Explanation of Solution

The given two points are (x1,y1) and (x2,y2).

The formula for the distance between the two points is given as,

distance=(x1−x2)2+(y1−y2)2

Substitute 0 for x1, 5 for x2, 0 for y1 and 0 for y2 in the above formula.

distance=(0−5)2+(0−0)2distance=5

Consider the three points are (0,0), (5,0) and (5,5).

The side of the triangle is,

a=(x1−x2)2+(y1−y2)2

Substitute 0 for x1, 5 for x2, 0 for y1 and 0 for y2 in the above formula.

a=(0−5)2+(0−0)2a=5

The side of the triangle is,

b=(x2−x3)2+(y2−y3)2

Substitute 5 for x2, 5 for x3, 0 for y2 and 5 for y3 in the above formula.

b=(5−5)2+(0−5)2b=5

The side of the triangle is,

c=(x3−x1)2+(y3−y1)2

Substitute 5 for x3, 0 for x1, 5 for y3 and 0 for y1 in the above formula.

c=(5−0)2+(5−0)2c=52

The formula for half sum of the sides of the triangle is,

s=a+b+c2

Substitute 5 for a, 5 for b and 52 for c in the above formula.

s=5+5+522s=8.5355

The formula for the area of the triangle is,

area=s(s−a)(s−b)(s−c)

Substitute 5 for a, 5 for b, 52 for c and 8.5355 for s in the above formula.

area=8.5355(8.5355−5)(8.5355−5)(8.5355−52)area=12.5000

MATLAB Code:

clc

clear all

close all

% MATLAB code to calculate the side length of the triangle.

%function file.

function [out] = sidetriangle(x1, y1, x2, y2)

%define the side of the triangle by using the function sidetriangle.

out = sqrt((x1-x2)^2+(y1-y2)^2);

end

% end of function

%The script file should be placed in the same folder.

% MATLAB code to calculate the area of the triangle and print the result.

%function file.

function areatriangle(x1, y1, x2, y2, x3, y3)

%define the area of triangle by using the function areatriangle.

a = sidetriangle(x1, y1, x2, y2);

%define the variable a.

b = sidetriangle(x2, y2, x3, y3);

%define the variable b.

c = sidetriangle(x3, y3, x1, y1);

%define the variable c.

s = (a+b+c)/2;

%define the variable s.

area = sqrt (s*(s-a)*(s-b)*(s-c));

fprintf('Area of the triangle is %3.2f\n', area);

%print the area of the triangle.

end

% end of function

%The script file should be placed in the same folder.

% MATLAB code to calculate the area of the triangle by calling a function.

%script file.

point1 = input('the coordinates of the fist point is entered:');

%enter the coordinates of the first point.

point2 = input('the coordinates of the second point is entered:');

%enter the coordinates of the second point.

point3 = input('the coordinates of the third point is entered:');

%enter the coordinates of the third point.

x1 = point1(1);y1 = point1(2);

%define the variable x1.

x2 = point2(1);y2 = point2(2);

%define the variable x2.

x3 = point3(1);y3 = point3(2);

%define the variable x3.

areatriangle(x1, y1, x2, y2, x3, y3)

% end of file

%The script file should be placed in the same folder.

Save the MATLAB scripts with names, sidetriangle.m, areatriangle.m and areacall.m in the current folder. Execute the script by typing the script name at the command window to generate result.

Result:

The results are,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 1

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 2

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 3

Therefore, the results and script files are stated above.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 6, Problem 21E

Expert Solution & Answer

To determine

To write:

A script that will prompt the user to enter the coordinates of three points that determine a triangle, then calculate and print the area of the triangle and then call one function to calculate the area of the triangle by calling a local function that calculates the length of the side formed by any two points.

Answer to Problem 21E

Solution:

The function file is,

% MATLAB code to calculate the side length of the triangle.

%function file.

function [out] = sidetriangle(x1, y1, x2, y2)

%define the side of the triangle by using the function sidetriangle.

out = sqrt((x1-x2)^2+(y1-y2)^2);

end

% end of function

%The script file should be placed in the same folder.

The function file to calculate the area is,

% MATLAB code to calculate the area of the triangle and print the result.

%function file.

function areatriangle(x1, y1, x2, y2, x3, y3)

%define the area of triangle by using the function areatriangle.

a = sidetriangle(x1, y1, x2, y2);

%define the variable a.

b = sidetriangle(x2, y2, x3, y3);

%define the variable b.

c = sidetriangle(x3, y3, x1, y1);

%define the variable c.

s = (a+b+c)/2;

%define the variable s.

area = sqrt (s*(s-a)*(s-b)*(s-c));

fprintf('Area of the triangle is %3.2f\n', area);

%print the area of the triangle.

end

% end of function

%The script file should be placed in the same folder.

The script file is,

% MATLAB code to calculate the area of the triangle by calling a function.

%script file.

point1 = input('the coordinates of the fist point is entered:');

%enter the coordinates of the first point.

point2 = input('the coordinates of the second point is entered:');

%enter the coordinates of the second point.

point3 = input('the coordinates of the third point is entered:');

%enter the coordinates of the third point.

x1 = point1(1);y1 = point1(2);

%define the variable x1.

x2 = point2(1);y2 = point2(2);

%define the variable x2.

x3 = point3(1);y3 = point3(2);

%define the variable x3.

areatriangle(x1, y1, x2, y2, x3, y3)

% end of file

%The script file should be placed in the same folder.

Explanation of Solution

The given two points are (x1,y1) and (x2,y2).

The formula for the distance between the two points is given as,

distance=(x1−x2)2+(y1−y2)2

Substitute 0 for x1, 5 for x2, 0 for y1 and 0 for y2 in the above formula.

distance=(0−5)2+(0−0)2distance=5

Consider the three points are (0,0), (5,0) and (5,5).

The side of the triangle is,

a=(x1−x2)2+(y1−y2)2

Substitute 0 for x1, 5 for x2, 0 for y1 and 0 for y2 in the above formula.

a=(0−5)2+(0−0)2a=5

The side of the triangle is,

b=(x2−x3)2+(y2−y3)2

Substitute 5 for x2, 5 for x3, 0 for y2 and 5 for y3 in the above formula.

b=(5−5)2+(0−5)2b=5

The side of the triangle is,

c=(x3−x1)2+(y3−y1)2

Substitute 5 for x3, 0 for x1, 5 for y3 and 0 for y1 in the above formula.

c=(5−0)2+(5−0)2c=52

The formula for half sum of the sides of the triangle is,

s=a+b+c2

Substitute 5 for a, 5 for b and 52 for c in the above formula.

s=5+5+522s=8.5355

The formula for the area of the triangle is,

area=s(s−a)(s−b)(s−c)

Substitute 5 for a, 5 for b, 52 for c and 8.5355 for s in the above formula.

area=8.5355(8.5355−5)(8.5355−5)(8.5355−52)area=12.5000

MATLAB Code:

clc

clear all

close all

% MATLAB code to calculate the side length of the triangle.

%function file.

function [out] = sidetriangle(x1, y1, x2, y2)

%define the side of the triangle by using the function sidetriangle.

out = sqrt((x1-x2)^2+(y1-y2)^2);

end

% end of function

%The script file should be placed in the same folder.

% MATLAB code to calculate the area of the triangle and print the result.

%function file.

function areatriangle(x1, y1, x2, y2, x3, y3)

%define the area of triangle by using the function areatriangle.

a = sidetriangle(x1, y1, x2, y2);

%define the variable a.

b = sidetriangle(x2, y2, x3, y3);

%define the variable b.

c = sidetriangle(x3, y3, x1, y1);

%define the variable c.

s = (a+b+c)/2;

%define the variable s.

area = sqrt (s*(s-a)*(s-b)*(s-c));

fprintf('Area of the triangle is %3.2f\n', area);

%print the area of the triangle.

end

% end of function

%The script file should be placed in the same folder.

% MATLAB code to calculate the area of the triangle by calling a function.

%script file.

point1 = input('the coordinates of the fist point is entered:');

%enter the coordinates of the first point.

point2 = input('the coordinates of the second point is entered:');

%enter the coordinates of the second point.

point3 = input('the coordinates of the third point is entered:');

%enter the coordinates of the third point.

x1 = point1(1);y1 = point1(2);

%define the variable x1.

x2 = point2(1);y2 = point2(2);

%define the variable x2.

x3 = point3(1);y3 = point3(2);

%define the variable x3.

areatriangle(x1, y1, x2, y2, x3, y3)

% end of file

%The script file should be placed in the same folder.

Save the MATLAB scripts with names, sidetriangle.m, areatriangle.m and areacall.m in the current folder. Execute the script by typing the script name at the command window to generate result.

Result:

The results are,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 1

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 2

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 3

Therefore, the results and script files are stated above.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 6, Problem 21E

Expert Solution & Answer

To determine

To write:

A script that will prompt the user to enter the coordinates of three points that determine a triangle, then calculate and print the area of the triangle and then call one function to calculate the area of the triangle by calling a local function that calculates the length of the side formed by any two points.

Answer to Problem 21E

Solution:

The function file is,

% MATLAB code to calculate the side length of the triangle.

%function file.

function [out] = sidetriangle(x1, y1, x2, y2)

%define the side of the triangle by using the function sidetriangle.

out = sqrt((x1-x2)^2+(y1-y2)^2);

end

% end of function

%The script file should be placed in the same folder.

The function file to calculate the area is,

% MATLAB code to calculate the area of the triangle and print the result.

%function file.

function areatriangle(x1, y1, x2, y2, x3, y3)

%define the area of triangle by using the function areatriangle.

a = sidetriangle(x1, y1, x2, y2);

%define the variable a.

b = sidetriangle(x2, y2, x3, y3);

%define the variable b.

c = sidetriangle(x3, y3, x1, y1);

%define the variable c.

s = (a+b+c)/2;

%define the variable s.

area = sqrt (s*(s-a)*(s-b)*(s-c));

fprintf('Area of the triangle is %3.2f\n', area);

%print the area of the triangle.

end

% end of function

%The script file should be placed in the same folder.

The script file is,

% MATLAB code to calculate the area of the triangle by calling a function.

%script file.

point1 = input('the coordinates of the fist point is entered:');

%enter the coordinates of the first point.

point2 = input('the coordinates of the second point is entered:');

%enter the coordinates of the second point.

point3 = input('the coordinates of the third point is entered:');

%enter the coordinates of the third point.

x1 = point1(1);y1 = point1(2);

%define the variable x1.

x2 = point2(1);y2 = point2(2);

%define the variable x2.

x3 = point3(1);y3 = point3(2);

%define the variable x3.

areatriangle(x1, y1, x2, y2, x3, y3)

% end of file

%The script file should be placed in the same folder.

Explanation of Solution

The given two points are (x1,y1) and (x2,y2).

The formula for the distance between the two points is given as,

distance=(x1−x2)2+(y1−y2)2

Substitute 0 for x1, 5 for x2, 0 for y1 and 0 for y2 in the above formula.

distance=(0−5)2+(0−0)2distance=5

Consider the three points are (0,0), (5,0) and (5,5).

The side of the triangle is,

a=(x1−x2)2+(y1−y2)2

Substitute 0 for x1, 5 for x2, 0 for y1 and 0 for y2 in the above formula.

a=(0−5)2+(0−0)2a=5

The side of the triangle is,

b=(x2−x3)2+(y2−y3)2

Substitute 5 for x2, 5 for x3, 0 for y2 and 5 for y3 in the above formula.

b=(5−5)2+(0−5)2b=5

The side of the triangle is,

c=(x3−x1)2+(y3−y1)2

Substitute 5 for x3, 0 for x1, 5 for y3 and 0 for y1 in the above formula.

c=(5−0)2+(5−0)2c=52

The formula for half sum of the sides of the triangle is,

s=a+b+c2

Substitute 5 for a, 5 for b and 52 for c in the above formula.

s=5+5+522s=8.5355

The formula for the area of the triangle is,

area=s(s−a)(s−b)(s−c)

Substitute 5 for a, 5 for b, 52 for c and 8.5355 for s in the above formula.

area=8.5355(8.5355−5)(8.5355−5)(8.5355−52)area=12.5000

MATLAB Code:

clc

clear all

close all

% MATLAB code to calculate the side length of the triangle.

%function file.

function [out] = sidetriangle(x1, y1, x2, y2)

%define the side of the triangle by using the function sidetriangle.

out = sqrt((x1-x2)^2+(y1-y2)^2);

end

% end of function

%The script file should be placed in the same folder.

% MATLAB code to calculate the area of the triangle and print the result.

%function file.

function areatriangle(x1, y1, x2, y2, x3, y3)

%define the area of triangle by using the function areatriangle.

a = sidetriangle(x1, y1, x2, y2);

%define the variable a.

b = sidetriangle(x2, y2, x3, y3);

%define the variable b.

c = sidetriangle(x3, y3, x1, y1);

%define the variable c.

s = (a+b+c)/2;

%define the variable s.

area = sqrt (s*(s-a)*(s-b)*(s-c));

fprintf('Area of the triangle is %3.2f\n', area);

%print the area of the triangle.

end

% end of function

%The script file should be placed in the same folder.

% MATLAB code to calculate the area of the triangle by calling a function.

%script file.

point1 = input('the coordinates of the fist point is entered:');

%enter the coordinates of the first point.

point2 = input('the coordinates of the second point is entered:');

%enter the coordinates of the second point.

point3 = input('the coordinates of the third point is entered:');

%enter the coordinates of the third point.

x1 = point1(1);y1 = point1(2);

%define the variable x1.

x2 = point2(1);y2 = point2(2);

%define the variable x2.

x3 = point3(1);y3 = point3(2);

%define the variable x3.

areatriangle(x1, y1, x2, y2, x3, y3)

% end of file

%The script file should be placed in the same folder.

Save the MATLAB scripts with names, sidetriangle.m, areatriangle.m and areacall.m in the current folder. Execute the script by typing the script name at the command window to generate result.

Result:

The results are,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 1

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 2

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 3

Therefore, the results and script files are stated above.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Expert Solution & Answer

To determine

To write:

A script that will prompt the user to enter the coordinates of three points that determine a triangle, then calculate and print the area of the triangle and then call one function to calculate the area of the triangle by calling a local function that calculates the length of the side formed by any two points.

Answer to Problem 21E

Solution:

The function file is,

% MATLAB code to calculate the side length of the triangle.

%function file.

function [out] = sidetriangle(x1, y1, x2, y2)

%define the side of the triangle by using the function sidetriangle.

out = sqrt((x1-x2)^2+(y1-y2)^2);

end

% end of function

%The script file should be placed in the same folder.

The function file to calculate the area is,

% MATLAB code to calculate the area of the triangle and print the result.

%function file.

function areatriangle(x1, y1, x2, y2, x3, y3)

%define the area of triangle by using the function areatriangle.

a = sidetriangle(x1, y1, x2, y2);

%define the variable a.

b = sidetriangle(x2, y2, x3, y3);

%define the variable b.

c = sidetriangle(x3, y3, x1, y1);

%define the variable c.

s = (a+b+c)/2;

%define the variable s.

area = sqrt (s*(s-a)*(s-b)*(s-c));

fprintf('Area of the triangle is %3.2f\n', area);

%print the area of the triangle.

end

% end of function

%The script file should be placed in the same folder.

The script file is,

% MATLAB code to calculate the area of the triangle by calling a function.

%script file.

point1 = input('the coordinates of the fist point is entered:');

%enter the coordinates of the first point.

point2 = input('the coordinates of the second point is entered:');

%enter the coordinates of the second point.

point3 = input('the coordinates of the third point is entered:');

%enter the coordinates of the third point.

x1 = point1(1);y1 = point1(2);

%define the variable x1.

x2 = point2(1);y2 = point2(2);

%define the variable x2.

x3 = point3(1);y3 = point3(2);

%define the variable x3.

areatriangle(x1, y1, x2, y2, x3, y3)

% end of file

%The script file should be placed in the same folder.

Explanation of Solution

The given two points are (x1,y1) and (x2,y2).

The formula for the distance between the two points is given as,

distance=(x1−x2)2+(y1−y2)2

Substitute 0 for x1, 5 for x2, 0 for y1 and 0 for y2 in the above formula.

distance=(0−5)2+(0−0)2distance=5

Consider the three points are (0,0), (5,0) and (5,5).

The side of the triangle is,

a=(x1−x2)2+(y1−y2)2

Substitute 0 for x1, 5 for x2, 0 for y1 and 0 for y2 in the above formula.

a=(0−5)2+(0−0)2a=5

The side of the triangle is,

b=(x2−x3)2+(y2−y3)2

Substitute 5 for x2, 5 for x3, 0 for y2 and 5 for y3 in the above formula.

b=(5−5)2+(0−5)2b=5

The side of the triangle is,

c=(x3−x1)2+(y3−y1)2

Substitute 5 for x3, 0 for x1, 5 for y3 and 0 for y1 in the above formula.

c=(5−0)2+(5−0)2c=52

The formula for half sum of the sides of the triangle is,

s=a+b+c2

Substitute 5 for a, 5 for b and 52 for c in the above formula.

s=5+5+522s=8.5355

The formula for the area of the triangle is,

area=s(s−a)(s−b)(s−c)

Substitute 5 for a, 5 for b, 52 for c and 8.5355 for s in the above formula.

area=8.5355(8.5355−5)(8.5355−5)(8.5355−52)area=12.5000

MATLAB Code:

clc

clear all

close all

% MATLAB code to calculate the side length of the triangle.

%function file.

function [out] = sidetriangle(x1, y1, x2, y2)

%define the side of the triangle by using the function sidetriangle.

out = sqrt((x1-x2)^2+(y1-y2)^2);

end

% end of function

%The script file should be placed in the same folder.

% MATLAB code to calculate the area of the triangle and print the result.

%function file.

function areatriangle(x1, y1, x2, y2, x3, y3)

%define the area of triangle by using the function areatriangle.

a = sidetriangle(x1, y1, x2, y2);

%define the variable a.

b = sidetriangle(x2, y2, x3, y3);

%define the variable b.

c = sidetriangle(x3, y3, x1, y1);

%define the variable c.

s = (a+b+c)/2;

%define the variable s.

area = sqrt (s*(s-a)*(s-b)*(s-c));

fprintf('Area of the triangle is %3.2f\n', area);

%print the area of the triangle.

end

% end of function

%The script file should be placed in the same folder.

% MATLAB code to calculate the area of the triangle by calling a function.

%script file.

point1 = input('the coordinates of the fist point is entered:');

%enter the coordinates of the first point.

point2 = input('the coordinates of the second point is entered:');

%enter the coordinates of the second point.

point3 = input('the coordinates of the third point is entered:');

%enter the coordinates of the third point.

x1 = point1(1);y1 = point1(2);

%define the variable x1.

x2 = point2(1);y2 = point2(2);

%define the variable x2.

x3 = point3(1);y3 = point3(2);

%define the variable x3.

areatriangle(x1, y1, x2, y2, x3, y3)

% end of file

%The script file should be placed in the same folder.

Save the MATLAB scripts with names, sidetriangle.m, areatriangle.m and areacall.m in the current folder. Execute the script by typing the script name at the command window to generate result.

Result:

The results are,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 1

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 2

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 3

Therefore, the results and script files are stated above.

Answer 6

Expert Solution & Answer

To determine

To write:

A script that will prompt the user to enter the coordinates of three points that determine a triangle, then calculate and print the area of the triangle and then call one function to calculate the area of the triangle by calling a local function that calculates the length of the side formed by any two points.

Answer to Problem 21E

Solution:

The function file is,

% MATLAB code to calculate the side length of the triangle.

%function file.

function [out] = sidetriangle(x1, y1, x2, y2)

%define the side of the triangle by using the function sidetriangle.

out = sqrt((x1-x2)^2+(y1-y2)^2);

end

% end of function

%The script file should be placed in the same folder.

The function file to calculate the area is,

% MATLAB code to calculate the area of the triangle and print the result.

%function file.

function areatriangle(x1, y1, x2, y2, x3, y3)

%define the area of triangle by using the function areatriangle.

a = sidetriangle(x1, y1, x2, y2);

%define the variable a.

b = sidetriangle(x2, y2, x3, y3);

%define the variable b.

c = sidetriangle(x3, y3, x1, y1);

%define the variable c.

s = (a+b+c)/2;

%define the variable s.

area = sqrt (s*(s-a)*(s-b)*(s-c));

fprintf('Area of the triangle is %3.2f\n', area);

%print the area of the triangle.

end

% end of function

%The script file should be placed in the same folder.

The script file is,

% MATLAB code to calculate the area of the triangle by calling a function.

%script file.

point1 = input('the coordinates of the fist point is entered:');

%enter the coordinates of the first point.

point2 = input('the coordinates of the second point is entered:');

%enter the coordinates of the second point.

point3 = input('the coordinates of the third point is entered:');

%enter the coordinates of the third point.

x1 = point1(1);y1 = point1(2);

%define the variable x1.

x2 = point2(1);y2 = point2(2);

%define the variable x2.

x3 = point3(1);y3 = point3(2);

%define the variable x3.

areatriangle(x1, y1, x2, y2, x3, y3)

% end of file

%The script file should be placed in the same folder.

Explanation of Solution

The given two points are (x1,y1) and (x2,y2).

The formula for the distance between the two points is given as,

distance=(x1−x2)2+(y1−y2)2

Substitute 0 for x1, 5 for x2, 0 for y1 and 0 for y2 in the above formula.

distance=(0−5)2+(0−0)2distance=5

Consider the three points are (0,0), (5,0) and (5,5).

The side of the triangle is,

a=(x1−x2)2+(y1−y2)2

Substitute 0 for x1, 5 for x2, 0 for y1 and 0 for y2 in the above formula.

a=(0−5)2+(0−0)2a=5

The side of the triangle is,

b=(x2−x3)2+(y2−y3)2

Substitute 5 for x2, 5 for x3, 0 for y2 and 5 for y3 in the above formula.

b=(5−5)2+(0−5)2b=5

The side of the triangle is,

c=(x3−x1)2+(y3−y1)2

Substitute 5 for x3, 0 for x1, 5 for y3 and 0 for y1 in the above formula.

c=(5−0)2+(5−0)2c=52

The formula for half sum of the sides of the triangle is,

s=a+b+c2

Substitute 5 for a, 5 for b and 52 for c in the above formula.

s=5+5+522s=8.5355

The formula for the area of the triangle is,

area=s(s−a)(s−b)(s−c)

Substitute 5 for a, 5 for b, 52 for c and 8.5355 for s in the above formula.

area=8.5355(8.5355−5)(8.5355−5)(8.5355−52)area=12.5000

MATLAB Code:

clc

clear all

close all

% MATLAB code to calculate the side length of the triangle.

%function file.

function [out] = sidetriangle(x1, y1, x2, y2)

%define the side of the triangle by using the function sidetriangle.

out = sqrt((x1-x2)^2+(y1-y2)^2);

end

% end of function

%The script file should be placed in the same folder.

% MATLAB code to calculate the area of the triangle and print the result.

%function file.

function areatriangle(x1, y1, x2, y2, x3, y3)

%define the area of triangle by using the function areatriangle.

a = sidetriangle(x1, y1, x2, y2);

%define the variable a.

b = sidetriangle(x2, y2, x3, y3);

%define the variable b.

c = sidetriangle(x3, y3, x1, y1);

%define the variable c.

s = (a+b+c)/2;

%define the variable s.

area = sqrt (s*(s-a)*(s-b)*(s-c));

fprintf('Area of the triangle is %3.2f\n', area);

%print the area of the triangle.

end

% end of function

%The script file should be placed in the same folder.

% MATLAB code to calculate the area of the triangle by calling a function.

%script file.

point1 = input('the coordinates of the fist point is entered:');

%enter the coordinates of the first point.

point2 = input('the coordinates of the second point is entered:');

%enter the coordinates of the second point.

point3 = input('the coordinates of the third point is entered:');

%enter the coordinates of the third point.

x1 = point1(1);y1 = point1(2);

%define the variable x1.

x2 = point2(1);y2 = point2(2);

%define the variable x2.

x3 = point3(1);y3 = point3(2);

%define the variable x3.

areatriangle(x1, y1, x2, y2, x3, y3)

% end of file

%The script file should be placed in the same folder.

Save the MATLAB scripts with names, sidetriangle.m, areatriangle.m and areacall.m in the current folder. Execute the script by typing the script name at the command window to generate result.

Result:

The results are,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 1

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 2

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 3

Therefore, the results and script files are stated above.

Answer 7

Expert Solution & Answer

Answer 8

Expert Solution & Answer

Answer 9

To determine

To write:

A script that will prompt the user to enter the coordinates of three points that determine a triangle, then calculate and print the area of the triangle and then call one function to calculate the area of the triangle by calling a local function that calculates the length of the side formed by any two points.

Answer 10

Answer to Problem 21E

Solution:

The function file is,

% MATLAB code to calculate the side length of the triangle.

%function file.

function [out] = sidetriangle(x1, y1, x2, y2)

%define the side of the triangle by using the function sidetriangle.

out = sqrt((x1-x2)^2+(y1-y2)^2);

end

% end of function

%The script file should be placed in the same folder.

The function file to calculate the area is,

% MATLAB code to calculate the area of the triangle and print the result.

%function file.

function areatriangle(x1, y1, x2, y2, x3, y3)

%define the area of triangle by using the function areatriangle.

a = sidetriangle(x1, y1, x2, y2);

%define the variable a.

b = sidetriangle(x2, y2, x3, y3);

%define the variable b.

c = sidetriangle(x3, y3, x1, y1);

%define the variable c.

s = (a+b+c)/2;

%define the variable s.

area = sqrt (s*(s-a)*(s-b)*(s-c));

fprintf('Area of the triangle is %3.2f\n', area);

%print the area of the triangle.

end

% end of function

%The script file should be placed in the same folder.

The script file is,

% MATLAB code to calculate the area of the triangle by calling a function.

%script file.

point1 = input('the coordinates of the fist point is entered:');

%enter the coordinates of the first point.

point2 = input('the coordinates of the second point is entered:');

%enter the coordinates of the second point.

point3 = input('the coordinates of the third point is entered:');

%enter the coordinates of the third point.

x1 = point1(1);y1 = point1(2);

%define the variable x1.

x2 = point2(1);y2 = point2(2);

%define the variable x2.

x3 = point3(1);y3 = point3(2);

%define the variable x3.

areatriangle(x1, y1, x2, y2, x3, y3)

% end of file

%The script file should be placed in the same folder.

Answer 11

Explanation of Solution

The given two points are (x1,y1) and (x2,y2).

The formula for the distance between the two points is given as,

distance=(x1−x2)2+(y1−y2)2

Substitute 0 for x1, 5 for x2, 0 for y1 and 0 for y2 in the above formula.

distance=(0−5)2+(0−0)2distance=5

Consider the three points are (0,0), (5,0) and (5,5).

The side of the triangle is,

a=(x1−x2)2+(y1−y2)2

Substitute 0 for x1, 5 for x2, 0 for y1 and 0 for y2 in the above formula.

a=(0−5)2+(0−0)2a=5

The side of the triangle is,

b=(x2−x3)2+(y2−y3)2

Substitute 5 for x2, 5 for x3, 0 for y2 and 5 for y3 in the above formula.

b=(5−5)2+(0−5)2b=5

The side of the triangle is,

c=(x3−x1)2+(y3−y1)2

Substitute 5 for x3, 0 for x1, 5 for y3 and 0 for y1 in the above formula.

c=(5−0)2+(5−0)2c=52

The formula for half sum of the sides of the triangle is,

s=a+b+c2

Substitute 5 for a, 5 for b and 52 for c in the above formula.

s=5+5+522s=8.5355

The formula for the area of the triangle is,

area=s(s−a)(s−b)(s−c)

Substitute 5 for a, 5 for b, 52 for c and 8.5355 for s in the above formula.

area=8.5355(8.5355−5)(8.5355−5)(8.5355−52)area=12.5000

MATLAB Code:

clc

clear all

close all

% MATLAB code to calculate the side length of the triangle.

%function file.

function [out] = sidetriangle(x1, y1, x2, y2)

%define the side of the triangle by using the function sidetriangle.

out = sqrt((x1-x2)^2+(y1-y2)^2);

end

% end of function

%The script file should be placed in the same folder.

% MATLAB code to calculate the area of the triangle and print the result.

%function file.

function areatriangle(x1, y1, x2, y2, x3, y3)

%define the area of triangle by using the function areatriangle.

a = sidetriangle(x1, y1, x2, y2);

%define the variable a.

b = sidetriangle(x2, y2, x3, y3);

%define the variable b.

c = sidetriangle(x3, y3, x1, y1);

%define the variable c.

s = (a+b+c)/2;

%define the variable s.

area = sqrt (s*(s-a)*(s-b)*(s-c));

fprintf('Area of the triangle is %3.2f\n', area);

%print the area of the triangle.

end

% end of function

%The script file should be placed in the same folder.

% MATLAB code to calculate the area of the triangle by calling a function.

%script file.

point1 = input('the coordinates of the fist point is entered:');

%enter the coordinates of the first point.

point2 = input('the coordinates of the second point is entered:');

%enter the coordinates of the second point.

point3 = input('the coordinates of the third point is entered:');

%enter the coordinates of the third point.

x1 = point1(1);y1 = point1(2);

%define the variable x1.

x2 = point2(1);y2 = point2(2);

%define the variable x2.

x3 = point3(1);y3 = point3(2);

%define the variable x3.

areatriangle(x1, y1, x2, y2, x3, y3)

% end of file

%The script file should be placed in the same folder.

Save the MATLAB scripts with names, sidetriangle.m, areatriangle.m and areacall.m in the current folder. Execute the script by typing the script name at the command window to generate result.

Result:

The results are,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 1

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 2

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 6, Problem 21E , additional homework tip 3

Therefore, the results and script files are stated above.