Answer:
The area of the triangle is 16 unit²
Step-by-step explanation:
Area of a triangle given coordinates
D = (-1, -2)
E = (-5, 2)
F = (2, 2)
We note that the formula for finding the are triangle given the coordinates if presented as follows;
A = (x₁·y₂ + x₂·y₃ + x₃·y₁ - x₁·y₃ - x₂·y₁ - x₃·y₂)/2
Where:
D = (x₁, y₁)
F = (x₂, y₂)
E = (x₃, y₃)
Therefore;
x₁ = -1, y₁ = -2, x₂ = 2, y₂ = 2, x₃ = -5, y₃ = 2
Which gives;
A = ((-1)*(-2) + 2*2 + (-5)*(-2) - (-1)*2 - 2*(-2) - (-5)*2)/2
A = ((-1)·(-2) + 2·2 + (-5)·(-2) - (-1)·2 - 2·(-2) - (-5)·2)/2 = 16
The area of the triangle = 16 unit².
