# In the given right triangle, find the missing length to the nearest tenth given the base is 17 ft and height is 11ft?

Jan 13, 2017

See the full solution process below

#### Explanation:

Because this is a right triangle we can use the Pythagorean theorem to solve this problem.

The Pythagorean theorem states:

${\textcolor{red}{a}}^{2} + {\textcolor{b l u e}{b}}^{2} = {c}^{2}$

Where $\textcolor{red}{a}$ and $\textcolor{b l u e}{b}$ are the base and height.

Substituting the lengths from the problem we can solve for $x$:

${\textcolor{red}{17}}^{2} + {\textcolor{b l u e}{11}}^{2} = {c}^{2}$

$289 + 121 = {c}^{2}$

$410 = {c}^{2}$

$\sqrt{410} = \sqrt{{c}^{2}}$

$20.2 = c$

The missing length is 20.2.