Answer:
Area of triangle = 14 unit²
Step-by-step 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 = [tex]\frac{1}{2}[/tex][x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]
Area of Δ = [tex]\frac{1}{2}[/tex][ -5 (2+ 2) + 2(-2- 2) -1(2 - 2)]
Area of Δ = [tex]\frac{1}{2}[/tex][ -5 (4) + 2(-4) -1(0)]
Area of Δ = [tex]\frac{1}{2}[/tex]( - 28)
So , Area of Δ = 14 units²
