(5,2),(3,-5),(-5,-1) find the area of triangle ?

1 Answer
Apr 24, 2018

A = 32 Square Units

Explanation:

Let: A(5,2), B(3, -5), C(-5, -1), then:

Shift C to Origin(0, 0), and also:

Adjust A and B to compensate for the shift accordingly:

C(-5+5 , -1+1) => C(0, 0)
A(5+5, 2+1) => A(10, 3)
B(3+5, -5+1) => C(8, -4)

Then we can use the following:

Area of the triangle with vertices at:

C(0, 0), A(x_1, y_1), and B(x_2, y_2) is:

Area = 1/2|x_1 y_2 - x_2 y_1|

Therefore in this case we get:

A=1/2|(10)(-4)-(8)(3)|

A= 1/2|-40-24|

A=1/2|-64|

A= 1/2*64

A = 32 Square Units