Chapter 2.8, Problem 4P

The figures in each pair are similar. Find the missing length.

To determine

To find: the missing length in the given triangle.

Answer to Problem 4P

The missing length $m=12.6$ .

Explanation of Solution

Given information:

The similar triangles are as follows

  

Calculation:

The corresponding sides and corresponding angles of two similar triangle are in same

ratio.

Thus

  $\begin{array}{l}\frac{7}{m}=\frac{10}{18}\\ m(10)=7(18)\\ 10m=126\\ m=\frac{126}{10}\\ m=12.6\end{array}$

Hence, the missing length in the given triangle $m=12.6$ .