# How do you find the length of their hypotenuses given sides 3 and 4?

Apr 9, 2018

$c = 5$

#### Explanation:

Using Pythagoras theorem, ${a}^{2} + {b}^{2} = {c}^{2}$ where $c$ is the longest side

Therefore, to find the length of the hypotenuse,

${c}^{2} = {3}^{2} + {4}^{2}$

${c}^{2} = 25$

$c = \pm 5$

Since C is the length,

$c = 5$