Chapter 11.2, Problem 64SR

To determine

To Find: The missing measure.

Answer to Problem 64SR

  $c=10.82$

Explanation of Solution

Given:$c$ is the measure of the hypotenuse of a right triangle.

  $a=9,b=6,c=?$

Given: $a=9,b=6$

  

Using Pythagoras Theorem

  $c^2=a^2+b^2$

Then

  $\begin{array}{l}{c}^2=a^2+b^2\\ $ c^2={(9)}^2+{(6)}^2$c^2=81+36\\ c^2=117\\ c=\sqrt{117}\\ c=10.82\end{array}$

Hence, $c=10.82$