The calculated area of the triangle is 18 square units
How to calculate the area of the triangle in square units?
From the question, we have the following parameters that can be used in our computation:
(–2, –1), (4, –1), (6, 5)
The area of the triangle in square units is calculated as
Area = 1/2 * |x₁y₂ - x₂y₁ + x₂y₃ - x₃y₂ + x₃y₁ - x₁y₃|
Substitute the known values in the above equation, so, we have the following representation
Area = 1/2 * |-2 * -1 - 4 * -1 + 4 * 5 - 6 * -1 + 6 * -1 - 5 * -2|
Evaluate the sum and the difference of products
Area = 1/2 * 36
So, we have
Area = 18
Hence, the area is 18 square units