# 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 10 , 6 , and 3 , respectively. What is the rectangle's area?

Area of the rectangle $= 24 \text{ }$square units

#### Explanation:

compute by Pythagorean Theorem the side b of the right triangle

$b = \sqrt{{a}^{2} - {c}^{2}} = \sqrt{{10}^{2} - {6}^{2}} = 8$

One side of the rectangle is 3 which is adjancent to b=8

So the sides of the rectangle are 3 and 8

Area $= 3 \cdot 8 = 24$