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Math Help - areas of related figures

  1. #1
    Junior Member
    Joined
    May 2009
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    29

    areas of related figures

    Let P and Q be the points on the sides AB and BC of a triangle ABC respectively such that BP = 3PA and QC = 2BQ.
    Let K be the midpoint of the segment PQ. Prove that area of triangle AKC equals to
    11S/24, where S is the area of triangle ABC.
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  2. #2
    Newbie
    Joined
    Jul 2010
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    Maa'le edomim-near Jerusalem
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    24

    the prove !

    Here is the solution ! enjoy !
    Attached Thumbnails Attached Thumbnails areas of related figures-1.jpg  
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