Chapter 0.6, Problem 9E

To determine

To evaluate: the value of x and y from the given figures.

Answer to Problem 9E

The value of x = 10.2 and y = 13.6.

Explanation of Solution

Given information:

It is given that two figures are similar,

  

In the given question, there are two figures, and they are similar,

So, the ratio of their corresponding sides is equal,

Finding ‘x’

  $\begin{array}{l}\frac{x}{6}=\frac{17}{10}\\ x=\frac{17\times 6}{10}\\ x=\frac{102}{10}\\ x=10.2\end{array}$

Finding ‘y’

  $\begin{array}{l}\frac{8}{y}=\frac{10}{17}\\ y=\frac{17\times 8}{10}\\ y=13.6\end{array}$

So,

The value of x = 10.2 and y = 13.6.