Chapter 13.7, Problem 11PSA

To determine

To find:The measure of BE.

Answer to Problem 11PSA

The measure of BEis $\text{12}\text{units}$ .

Explanation of Solution

The measure of DB is calculated as,

  $\begin{array}{c}DB=\sqrt{{\left(22-18\right)}^2+{\left(0+3\right)}^2}\\ =\sqrt{4^2+3^2}\\ =\sqrt{25}\\ =5\end{array}$

The measure of BE is calculated as,

  $\begin{array}{c}BE\times BD=AB\times BC\\ BE\times 5=6\times 10\\ BE=\frac{60}{5}\\ =12\text{unit}\end{array}$

Therefore, the measure of BEis $\text{12}\text{units}$ .