Chapter 8, Problem 14RP

To determine

To find:The value of ’x’ , i.e., unknown side of the given triangle

Answer to Problem 14RP

The length of unknown side of the given triangle=12 units

Explanation of Solution

Given information:

As per the figure,

Triangles are similar

Sides of triangle are given as: 8 & 6.4 and for triangle 2 as: x & 16 − 6.4=9.6

Formula used:

Ratios of corresponding sides are equal

Calculation:

In the given triangles, we have

  $\begin{array}{l}\frac{x}{9.6}=\frac{8}{6.4}\\ \Rightarrow x=9.6\times \frac{8}{6.4}\\ \Rightarrow x=12\text{ units}\end{array}$