# A high school basketball court is 84 feet long and 50 feet wide. What is the diagonal length of the court?

Apr 24, 2018

#### Explanation:

The diagonal side (the hypotenuse of a triangle) will be written as $c$.

${c}^{2} = {a}^{2} + {b}^{2}$

${c}^{2} = {84}^{2} + {50}^{2}$

${c}^{2} = 7056 + 2500$

${c}^{2} = 9556$

So

$c \approx \text{97.755 ft}$