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Math Help - Point in quadrilateral

  1. #1
    Senior Member OReilly's Avatar
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    Point in quadrilateral

    This is the problem:
    In a plane of quadrilateral ABCD find point M such that sum of AM,BM,CM and DM be smallest.

    Solution for convex quadrilateral ABCD is simple, M is intersection of diagonals, but for concave quadrilateral I can't see some simple solution.

    Any ideas?
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  2. #2
    Senior Member OReilly's Avatar
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    Since I didn't get reply, I guess there isn't simple solution.

    I have an idea where M can be, but I must say I cannot prove it simple.

    M would be first point after B on DB.
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