Chapter 9.3, Problem 21PSC

To determine

To find: The value of side $BD$ .

Answer to Problem 21PSC

The length of side $BD=2\sqrt{5}$

Explanation of Solution

Given information :

  $\overline{AD}\perp \overline{CD}\&\overline{BD}\perp \overline{AC}$

  $BC=5$ and $AD=6$

Formula used :

  $B{D}^2=AB\times BC$

Calculation :

  $\begin{array}{l}B{D}^2=AB\times BC=4\times 5=20\\ \Rightarrow BD=\sqrt{20}=2\sqrt{5}\end{array}$