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Math Help - Centriod Theorem Problem

  1. #1
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    Centriod Theorem Problem

    From this picture,




    Find the length of line DG.

    Line AG= 13x-3
    line BG= 4x + 3
    line CG= 3x + 14
    line EG= 11

    I figured BG = CG, so I set them equal and got x= 11.
    I plugged the x value into everything, reviewed the centriod theorem formulas (e.g. line AD \frac{2}{3} = AG )
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  2. #2
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    Opalg's Avatar
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    There doesn't seem to be any reason why BG should be equal to CG.

    If G is the centroid then BG = 2*GE (because BG = \tfrac23BE and GE = \tfrac13BE). That will give you an equation for x.
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