Chapter 8.3, Problem 68SR

To determine

The value of x.

Answer to Problem 68SR

  $x=\sqrt{7}=2.6$

Explanation of Solution

Given:

The given figure is:

Calculation:

According to the Pythagorean Theorem,

  $\begin{array}{l}{a}^2+b^2=c^2\\ x^2+{\left(3\sqrt{2}\right)}^2=5^2\\ 104.04+36.69=x^2\\ x^2+18=25\\ x^2=7\\ x=\sqrt{7}=2.6\end{array}$