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Math Help - Minimization

  1. #1
    MHF Contributor alexmahone's Avatar
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    Minimization

    ABC has a right angle at A. Among all points P on the perimeter of the triangle, find the position of P such that
    AP+BP+CP
    is minimized.
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  2. #2
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    It's the midpoint of BC.
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  3. #3
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    Quote Originally Posted by Jeqle View Post
    It's the midpoint of BC.
    Not true, it clearly lies in one of two places, the foot of the altitude from A or at A. The final argument is more subtle
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  4. #4
    MHF Contributor alexmahone's Avatar
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    Quote Originally Posted by SimonM View Post
    Not true, it clearly lies in one of two places, the foot of the altitude from A or at A. The final argument is more subtle
    Tha answer is P=A. Check the MathLinks solution.
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