# 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 , 6 , and 16 , respectively. What is the rectangle's area?

Feb 14, 2017

≈57.6" square units"

#### Explanation:

The area (A ) of the rectangle attached to side B is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{A = 16 \times B} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

We require to find the side B.

Using $\textcolor{b l u e}{\text{Pythagoras' theorem}}$ on the right triangle.

${B}^{2} + {6}^{2} = {7}^{2}$

rArrB=sqrt(7^2-6^2)=sqrt(49-36)=sqrt13≈3.6

$\Rightarrow \text{Area of rectangle "=16xx3.6=57.6" square units}$