Q:

A triangle with vertices located at (−2, −2) and (4, −2) has an area of 24 square units. Which is one possible location of the other vertex?

Accepted Solution

A:
To find the other possible location, you can find the distance between the two ordered pairs that are given.

From (-2, -2) (4, -2), there is a distance of 6 units. We can see this with the X values. From -2 to 4 on a number line is 6 units.

To create a triangle with 24 square units, you will need to think of creating a space that is 48 square units if it were the shape of a rectangle.

6×8 = 48, and half of that, the area of the triangle, would be 24 square units.

Eight units on the Y axis from (-2, -2), would be (-2, 6).

One possible location is (-2, 6).