1. ## Coordinate geometry

How to find s?

2. ## Re: Coordinate geometry

Use the fact that all of the sides are of equal length. You can find this length from the two given points.

3. ## Re: Coordinate geometry

ITs impossible...you will have 2 unknowns

4. ## Re: Coordinate geometry

Originally Posted by Thorpelizts
ITs impossible...you will have 2 unknowns

Of course, it is not impossible if you know what you are doing.

Here is a start.

Let $S=\left( {s_x ,s_y } \right)$. Then $T$ is the midpoint of the diagonal so:

$T=\left( {\frac{{s_x +9}}{2},\frac{{s_y + 3}}{2}} \right)$ solve for $s_x~\&~s_y$.

Then $\overleftrightarrow {PR} = P + t\overrightarrow {PT}$

Now you do some work.

5. ## Re: Coordinate geometry

A graphical procedure gives a quick solution.