# Using the pythagorean theorem, how do you solve for the missing side given c = 53 and a = 45?

May 10, 2016

$b = 28$

#### Explanation:

By Pythagoras theorem:

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

So:

$b = \sqrt{{c}^{2} - {a}^{2}} = \sqrt{{53}^{2} - {45}^{2}} = \sqrt{2809 - 2025} = \sqrt{784} = 28$