Chapter 8, Problem 8RP

To determine

To find the length of a side.

Answer to Problem 8RP

The length of side is 32.

Explanation of Solution

Given information:

  $\begin{array}{l}\frac{GH}{HJ}=\frac{3}{4}\\ GJ=56\end{array}$

Formula used:

A proportion is an equation stating that two or more ratios are equal.

Proportion is $\frac{a}{b}=\frac{c}{d}$ .

Calculation:

  

It is given that,

  $\begin{array}{l}\frac{GH}{HJ}=\frac{3}{4}\\ GJ=56\end{array}$

  $\begin{array}{l}HJ=56-x\\ \frac{x}{56-x}=\frac{3}{4}\\ \therefore 4x=168-3x\\ \therefore 7x=168\\ \therefore x=24\\ HJ=56-24=32\end{array}$