Chapter 8, Problem 6RP

To determine

To find the length of two sides.

Answer to Problem 6RP

The length of EF is 7.5 and DF is 9.

Explanation of Solution

Given information:

  $\Delta ABC~\Delta DEF$

Formula used:

The below property is used:

Corresponding sides of similar triangles are proportional.

Calculation:

  

It is given that,

  $\Delta ABC~\Delta DEF$

Corresponding sides of similar triangles are proportional.

  $\begin{array}{l}\frac{8}{6}=\frac{10}{EF}\\ 8*EF=60\\ \therefore EF=\frac{60}{8}=\frac{15}{2}=7.5\end{array}$

Also,

  $\begin{array}{l}\frac{8}{6}=\frac{12}{DF}\\ 8*DF=72\\ \therefore DF=\frac{72}{8}=9\end{array}$