Chapter 8.4, Problem 18PSB

To determine

Find length of $XY$ .

Answer to Problem 18PSB

  $XY=4\frac{4}{9}$

Explanation of Solution

Given information:

If $\Delta TVK\approx \Delta XZY,TV=8,VK=9,TK=10\text{}\text{}andZY=4$

Calculation:

It is given that,

  $\Delta TVK\approx \Delta XZY,TV=8,VK=9,TK=10\text{}\text{}andZY=4$

We know that corresponding side of similar triangles are proportional,

  $\begin{array}{l}\frac{TK}{XY}=\frac{VK}{ZY}\\ \frac{10}{XY}=\frac{9}{4}\\ XY=\frac{40}{9}\\ XY=4\frac{4}{9}\end{array}$

Hence, $XY=4\frac{4}{9}$ .