# What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12?

May 7, 2018

The length of the hypotenuse is 13 units.

#### Explanation:

Pythagorean Theorem:

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

${5}^{2} + {12}^{2} = {c}^{2}$

$25 + 144 = {c}^{2}$

$169 = {c}^{2}$

$\sqrt{169}$ = c

c = 13