Question

How do you find the area of the triangle with the given vertices A(2, -4), B(1,3), C(-2, -1)?

Answer 1

12.5 sq units

Explanation:

Area of a triangle with vertices `(x_1, y_1), (x_2, y_2), (x_3,y_3)` is `1/2[x_1(y_2-y_3) +x_2 (y_3-y_1) +x_3(y_1 -y_2)]`

Using this formula the required area would be

`1/2[2(3+1)+1(-1+4)+(-2)(-4-3)]`

`1/2 [8+3+14]= 25/2 =12.5`