Chapter 8.4, Problem 17PSB

To determine

Find length of side $PO$ .

Answer to Problem 17PSB

  $PO=6\frac{6}{7}$

Explanation of Solution

Given information:

  

  $\angle M\cong \angle S,MP=8,PR=6,SP=7$

Calculation:

It is given that,

  $\angle M\cong \angle S,MP=8,PR=6,SP=7$

So, vertical angles are congruent,

  $\angle MPO\cong \angle SPR$

We know that corresponding side of similar triangles are proportional,

  $\begin{array}{l}\frac{MP}{SP}=\frac{PO}{PR}\\ putthegivenvalues,\\ \frac{8}{7}=\frac{PO}{6}\\ PO=\frac{48}{7}=6\frac{6}{7}\end{array}$

Hence, $PO=6\frac{6}{7}$ .