Chapter 7.1, Problem 7PSA

To determine

To Calculate:The measure of side AY.

Answer to Problem 7PSA

The measure of $AX=9$

Explanation of Solution

Given information:The following information has been given

  $WX=18$

Formula used

: The midline theorem has been used for similar triangles

  $\frac{AY}{WX}=\frac{1}{2}$

Calculation:We know that in triangles XWZ and YAZ

Z is the common angle

AY is parallel to WX

Hence, by midline theorem stated in the book, we can say that

  $\frac{AY}{WX}=\frac{1}{2}$

Hence, substituting the value of $WX=18$ , we can say that

  $AX=9$