# Using the pythagorean theorem, how do you solve for the missing side given a = 24 and b = 45, then c?

May 27, 2016

$c = 51$

#### Explanation:

The Pythagorean Theorem is ${a}^{2} + {b}^{2} = {c}^{2}$

$a = 24$
$b = 45$
c=?

${24}^{2} + {45}^{2} = {c}^{2}$

$576 + 2025 = {c}^{2}$

$2601 = {c}^{2}$

$\sqrt{2601} = c$

$c = 51$