# The legs of a right triangle measure 9 feet and 12 feet what is the length of of the hypotenuse?

Dec 8, 2016

The length of the hypotenuse is 15 feet.

#### Explanation:

To determine the length of a side of a right triangle you use the Pythagorean Theorem which states:

a^2 + b^ =c^ where $a$ and $b$ are the length of the legs and $c$ is the length of the hypotenuse.

Substituting the information provided and solving for $c$ gives:

9^2 + 12^ = c^

$81 + 144 = {c}^{2}$

$225 = {c}^{2}$

$\sqrt{225} = \sqrt{{c}^{2}}$

$15 = c$