# In a right triangle where c is the hypotenuse, a = 13, b = 18, what is c?

May 7, 2018

c = 22.20360331117 units

#### Explanation:

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

${13}^{2} + {18}^{2} = {c}^{2}$

$169 + 324 = {c}^{2}$

$493 = {c}^{2}$
$\sqrt{493} = c$