Chapter 6, Problem 13PT

To determine

To calculate:Tofind the missing measure.

Answer to Problem 13PT

Measure of missing side is $6$ inches.

Explanation of Solution

Given information:Similar trapeziums are

Calculation:

Similar trapeziums are given as follows:

Since trapeziums are similar, hence their corresponding sides are proportional

Thus,

$\frac{10}{15}=\frac{8}{12}=\frac{x}{9}$

On solving $\frac{8}{12}=\frac{x}{9}$ , we get

$\begin{array}{l}8\times 9=x\times 12\\ x\times 12=8\times 9\\ x=\frac{8\times 9}{12}\\ x=\frac{8\times 3}{4}\\ x=\frac{2\times 3}{1}\\ x=6\end{array}$

Hence, measure of missing side is $6$ inches.