# A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of 7 , 4 , and 9 , respectively. What is the rectangle's area?

Dec 30, 2017

$9 \sqrt{33}$

#### Explanation:

This is what I am imagining the your problem looks like, based on the information you gave.

First, use the pythagorean theorem to find side B:
sqrt(7^2-4^2 = sqrt(33

Then find the area of the rectangle:
9 cdot sqrt(33 = 9 sqrt(33 or $51.7$