Question

What is the area of a triangle whose vertices are D(3, 3) , E(3, −1) , and F(−2, −5) ?

units²

Answer 1

The points given are:
`D=(3,3),E=(3,-1),F=(-2-5)`

Area of the triangle is given by:

`A = (1)/(2)| ( x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2) )|`

`A = (1)/(2) |(3(-1+5) + 3(-5-3) -2(3+1))|`

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

`A = (1)/(2) |( 12 -24 -8))|`

`A = (1)/(2) |( -20)|`

`A = |-10|`

`A = 10 \ units^2`