Program: 137

Write a function to compute the distance between two points and use it to develop another function that will compute the area of the triangle whose vertices are A(x₁, y₁), B(x₂, y₂), and C(x₃, y₃). Use these functions to develop a function which returns a value 1 if the point (x, y) lines inside the triangle ABC, otherwise returns a value 0.

distance = √(x₂-x₁)²+(y₂-y₁)²)

area = √(S(S-a)(S-b)(S-c))
where, S = (a+b+c)/2.

Output:

Enter the values of (x1,y1): 1 2
Enter the values of (x2,y2): 2 4
Enter the values of (x3,y3): 3 2
Enter point values (x,y): 2 3

 Area of triangle: 2.00

Point(2.00, 3.00) lies inside the triangle.