Chapter 6, Problem 39SGR

To determine

To calculate:Todetermine the missing measure

Answer to Problem 39SGR

The missing measure of triangle is $7.2$ inches.

Explanation of Solution

Given information:Two triangles as give as

  

Calculation:

Similar triangles are given as

  

Since the triangles are similar, hence the sides of triangle are proportional

  $\frac{18}{24}=\frac{x}{9.6}$

On solving the above proportion,

  $\begin{array}{l}18\times 9.6=x\times 24\\ x\times 24=18\times 9.6\\ x=\frac{18\times 9.6}{24}\\ x=\frac{3\times 9.6}{4}\\ x=\frac{3\times 2.4}{1}\\ x=7.2\end{array}$

Hence, the missing measure of triangle is $7.2$ inches.