Chapter 11.2, Problem 18PSB

a.

To determine

To find the area of triangle PQR.

Answer to Problem 18PSB

The area of triangle PQRis $90$ .

Explanation of Solution

Given:

  $\begin{array}{l}QT=12,\\ PR=15,\\ PS=10.\end{array}$

Formula Used:

  $\begin{array}{l}Areaoftriangle=\frac{1}{2}\ast b\ast h\\ b=Base,\\ h=Height\end{array}$

Calculation:

  

  $\begin{array}{l}A(\Delta PQR)=\frac{1}{2}*PR*QT\\ =\frac{1}{2}*15*12\\ =90\end{array}$

b.

To determine

To find the length of side RQ.

Answer to Problem 18PSB

The length of side RQis $18.$

Explanation of Solution

Given:

  $\begin{array}{l}QT=12,\\ PR=15,\\ PS=10.\end{array}$

Formula Used:

  $\begin{array}{l}Areaoftriangle=\frac{1}{2}\ast b\ast h\\ b=Base,\\ h=Height\end{array}$

Calculation:

  $\begin{array}{l}A(\Delta PQR)=\frac{1}{2}*RQ*PS\\ 90=\frac{1}{2}*RQ*10\\ 90=5*RQ\\ RQ=18\end{array}$