Question

What is the area of this triangle?

Enter your answer in the box.

__units²

Need answer quick!

Answer 1

Area of triangle = 14 unit²

Explanation:

Given three points as shown in plotted graph

E ( -5 , 2)

F (2 , 2)

D ( -1 , -2)

Now area of triangle with three points can be calculated as

Area of Δ =
`(1)/(2)`[x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]

Area of Δ =
`(1)/(2)`[ -5 (2+ 2) + 2(-2- 2) -1(2 - 2)]

Area of Δ =
`(1)/(2)`[ -5 (4) + 2(-4) -1(0)]

Area of Δ =
`(1)/(2)`( - 28)

So , Area of Δ = 14 units²