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Math Help - Another Geometry Construction...

  1. #1
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    Another Geometry Construction...

    Construct a triangle, given the length of one side, and the lengths of the median and the altitude to that side.
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    Quote Originally Posted by MATNTRNG View Post
    Construct a triangle, given the length of one side, and the lengths of the median and the altitude to that side.
    I've attached a sketch of the construction. Keep in mind that the construction is only possible if
    |h| \leq |m|
    Attached Thumbnails Attached Thumbnails Another Geometry Construction...-dreieckskonstr_seitenhalb.png  
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by MATNTRNG View Post
    Construct a triangle, given the length of one side, and the lengths of the median and the altitude to that side.
    Construct a right triagle with the given altitude as its altitude, and the median as its hypotenuse. Now mark off a segmanet of the third side of the given side length centred on the point where the hypotenuse (median) meets the base.

    CB
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