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Math Help - triangle - a proof needed

  1. #1
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    triangle - a proof needed

    Hey guys!

    Point O belongs to the interior af a triangle ABC. Lines AO, BO, CO cut the sides of a triangle BC, CA, AB respectively in points: K, L, M. Prove that:

     \frac{|AM|}{|MB|}* \frac{|BK|}{|KC|}* \frac{|CL|}{|LA|}=1

    Thank You in advance!
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  2. #2
    MHF Contributor alexmahone's Avatar
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    Quote Originally Posted by bobb12 View Post
    Hey guys!

    Point O belongs to the interior af a triangle ABC. Lines AO, BO, CO cut the sides of a triangle BC, CA, AB respectively in points: K, L, M. Prove that:

     \frac{|AM|}{|MB|}* \frac{|BK|}{|KC|}* \frac{|CL|}{|LA|}=1

    Thank You in advance!
    See Ceva's theorem.
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