Chapter 8.2, Problem 3AYU

To determine

To find: The missing length of the given triangle.

Answer to Problem 3AYU

The missing length of the given triangle is $7.5\text{unit}$ .

Explanation of Solution

Given information:

The given similar triangles are,

  

The missing length of the triangle is calculated by using property of similar triangles as ,

  $\begin{array}{l}\frac{a_1}{a_2}=\frac{b_1}{b_2}\\ \frac{x}{5}=\frac{3}{2}\\ x=\frac{15}{2}\\ x=7.5\text{unit}\end{array}$

Thus, the missing length of the given triangle is $7.5\text{unit}$ .