What is the area of this triangle? Enter your answer in the box. units² A triangle D E F is graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 2 in increments of 1. The vertical y-axis ranges from negative 2 to 2 in increments of 1. The vertex labeled as D is located at beginning ordered pair negative 1 comma negative 2 ends ordered pair. The vertex labeled as E lies at beginning ordered pair negative 5 commas 2 end ordered pair. The vertex labeled as Flies at beginning ordered pair 2 commas 2 ends ordered pair.

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.