# Using the pythagorean theorem, how do you solve for the missing side given a = 15 and b = 16?

Mar 22, 2018

$c = \sqrt{481}$

#### Explanation:

According to the Pythagorean Theorem:
${a}^{2} + {b}^{2} = {c}^{2}$
($a$ and $b$ represent the legs of a right triangle and $c$ represents the hypotenuse)

Therefore we can substitute and simplify:
${15}^{2} + {16}^{2} = {c}^{2}$
$225 + 256 = {c}^{2}$
$481 = {c}^{2}$

Then take the square root of both sides:
$\sqrt{481} = c$