Chapter 8, Problem 13RP

To determine

To calculate:The unknown sideAD of the triangle

Answer to Problem 13RP

The length of required side is 6.67 units

Explanation of Solution

Given information:

Given bisector of an angle

And AC = 8 units; BC = 6 units and BD = 5 units

Formula used:

Compare the ratios of corresponding sides of the given triangles

Calculation:

In given triangles, we have

  $\begin{array}{l}\frac{BC}{BD}=\frac{AC}{AD}\\ \Rightarrow \frac{6}{5}=\frac{8}{AD}\\ \Rightarrow AD=8\times \frac{5}{6}=\frac{20}{3}\\ \Rightarrow AD=6.67\text{ units}\end{array}$