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Math Help - Prove that AC + BC = 2AB

  1. #1
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    Prove that AC + BC = 2AB

    Hey everyone,
    I've got troubles solving this task, maybe you will be able to solve it

    Point P,Q,R lie adequately on sides BC, CA and AB of traingle ABC (as shown on the picture). We know that AR = RP = PC and BR = RQ = QC.
    Prove that AC + BC= 2AB

    My first idea was to prove it using vectors, but unfortunately I failed
    I will try to prove it again, but maybe you will help me a bit
    Thanks in advance!
    Lukasz
    Attached Thumbnails Attached Thumbnails Prove that AC + BC = 2AB-zad6.jpg  
    Last edited by Lukaszm; October 5th 2012 at 11:16 PM.
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  2. #2
    Senior Member MaxJasper's Avatar
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    Re: Prove that AC + BC = 2AB

    Quote Originally Posted by Lukaszm View Post
    Prove that AB + BC= 2AB Lukasz
    Do you mean to prove : BC = AB ?
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  3. #3
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    Re: Prove that AC + BC = 2AB

    Oups, there should be AC + BC = 2AB, sorry
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