Chapter 13.5, Problem 17PSC

To determine

To find:The coordinates of point R.

Answer to Problem 17PSC

The coordinates is

  $4,2\frac{1}{2}$ .

Explanation of Solution

Given:

The given diagram is,

  

Calculation:

According to the given question the slope of BH and BR are equal. So,

  $\begin{array}{l}\frac{22-1}{22-8}=\frac{y-1}{9-8}\\ \frac{3}{2}=\frac{y-1}{1}\\ y=2\frac{1}{2}\end{array}$

The point is R( $4,2\frac{1}{2}$ )

The required diagram is shown in below figure.

  

Thus, the coordinates is $4,2\frac{1}{2}$ .