How to find s?

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- Dec 1st 2012, 02:51 AMThorpeliztsCoordinate geometry
How to find s?

- Dec 1st 2012, 03:03 AMMarkFLRe: Coordinate geometry
Use the fact that all of the sides are of equal length. You can find this length from the two given points.

- Dec 1st 2012, 05:12 AMThorpeliztsRe: Coordinate geometry
ITs impossible...you will have 2 unknowns

- Dec 1st 2012, 05:36 AMPlatoRe: Coordinate geometry

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

Here is a start.

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

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

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

Now you do some work. - Dec 2nd 2012, 04:30 PMbjhopperRe: Coordinate geometry
A graphical procedure gives a quick solution.

answers R (1,4) S (-11,5)

area rhombus 2*29^1/2*116^1/2

length of rhombus side 145^1/2

equation of PR y=-5/2x + 13/2