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.

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,

Therefore, the results and script files are stated above.