# 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 6 , 2 , and 14 , respectively. What is the rectangle's area?

Nov 13, 2017

$79.2$

#### Explanation:

The only way that description makes sense is for rectangle B to have the one side indicated as 14 and the unknown side is the third side of the triangle. From the Pythagorean Theorem this is:

${B}^{2} = {A}^{2} - {C}^{2} = {6}^{2} - {2}^{2} = 36 - 4 = 32$
$B = 5.66$

The Rectangle area is thus: $5.66 \times 14 = 79.2$