Chapter 5.10, Problem 23CCR

To determine

To find : The value of $x$

Answer to Problem 23CCR

  $x=9\text{ in}\text{.}$

Explanation of Solution

Given information :

  $\Delta JMK$ is similar to $\Delta PRO$

  

Concept used:

Sides opposite to equal angles in a triangle are equal.

Calculation:

In $\Delta JMK$ and $\Delta PRO$

  $\begin{array}{l}\angle KJM=\angle OPR(\because \text{Given)}\\ \angle JMK=\angle PRO(\because \text{Given)}\\ \angle MKJ=\angle ROP(\because \text{Given)}\\ \Rightarrow \Delta JMK\cong \Delta PRO\left(\because \text{By AAA congruency}\right)\end{array}$

So, sides opposite to equal angles in a triangle are equal.

  $\begin{array}{l}JM=PO=6\text{ in}\text{.}\\ \Rightarrow x=6\text{ in}\text{.}\end{array}$