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Math Help - Please help me!

  1. #1
    Newbie
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    Please help me!

    Let triangle ABC that M is in the plane of this triangle.
    A',B',C'are midpoint in (BC),(AC),(AB).
    Prove that MA/MA'=MB/MB'=MC/MC'=2.
    Thanks in advance!
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  2. #2
    MHF Contributor
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    Quote Originally Posted by mpgc_ac
    Let triangle ABC that M is in the plane of this triangle.
    A',B',C'are midpoint in (BC),(AC),(AB).
    Prove that MA/MA'=MB/MB'=MC/MC'=2.
    Thanks in advance!
    By that alone, it cannot be solved. Specify more where exactly is M.

    As posted, I can put M anywhere inside or outside of triangle ABC such that MA/MA' is not equal to 2, for example.
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by mpgc_ac
    Let triangle ABC that M is in the plane of this triangle.
    A',B',C'are midpoint in (BC),(AC),(AB).
    Prove that MA/MA'=MB/MB'=MC/MC'=2.
    Thanks in advance!
    Can we assume the M is the centroid, the point of intersection of the
    medians AA', BB' and CC'?

    RonL
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  4. #4
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    Quote Originally Posted by CaptainBlack
    Can we assume the M is the centroid, the point of intersection of the
    medians AA', BB' and CC'?

    RonL
    Yes you are right. Because the ratio from the vertex to the centroid to the remaining distance is 2:1
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