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Math Help - Coordinate geometry

  1. #1
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    Coordinate geometry

    How to find s?
    Attached Thumbnails Attached Thumbnails Coordinate geometry-image.jpg  
    Last edited by Thorpelizts; December 1st 2012 at 03:54 AM.
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  2. #2
    MHF Contributor MarkFL's Avatar
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    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.
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    Re: Coordinate geometry

    ITs impossible...you will have 2 unknowns
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    Re: Coordinate geometry

    Quote Originally Posted by Thorpelizts View Post
    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.
    Last edited by Plato; December 1st 2012 at 06:41 AM.
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  5. #5
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    Re: 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
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