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

May 7, 2018

#### Answer:

c = 22.20360331117 units

#### Explanation:

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

Plug in your data.
${13}^{2} + {18}^{2} = {c}^{2}$

Square your numbers.

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

Add 169 and 324.

$493 = {c}^{2}$

We have to find the square root of 493 to find c.

$\sqrt{493} = c$

c = 22.20360331117