Question

Find the area of the parallelogram by finding the height of the 45 45 90 triangle

Answer 1

45 in²

Explanation:

Since it's a 45-45-90 triangle, the legs are equal length. The legs are the sides that are not the hypotenuse. The hypotenuse is the side opposite the 90° angle. Here, the legs are both 6. This is also the height of the parallelogram.

The formula for area of a parallelogram is

A = LH where L is the side length, and H is the height

So the area is

A = 7.5(6) = 45 in²