Question

Find the area of △DEF with vertices D(−4, −2) , E(−1, −8) , and F(−7, −8) .

Answer 1

The area of △DEF is -9 square units.

Step-by-step explanation:

To find the area of a triangle, we can use the formula:

A = (1/2) * base * height

First, let's find the base of the triangle:

Base = X-coordinate of point E - X-coordinate of point D = -1 - (-4) = 3

Next, let's find the height of the triangle:

Height = Y-coordinate of point F - Y-coordinate of point D = -8 - (-2) = -6

Now, we can substitute the values into the formula:

A = (1/2) * 3 * -6

= -9 square units