Chapter SH, Problem 10.5.11EP

To determine

The missing side of the triangle.

Answer to Problem 10.5.11EP

  $a=7$

Explanation of Solution

Given:

The given sides are:

  $\begin{array}{l}b=9\\ c=\sqrt{130}\end{array}$

Calculation:

The missing side of the triangle will be:

  $\begin{array}{l}{c}^2=a^2+b^2\\ {\left(\sqrt{130}\right)}^2={\left(a\right)}^2+{\left(9\right)}^2\\ 130-81=a^2\\ a^2=49\\ a=\sqrt{49}\\ a=7\end{array}$