9th grade

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In triangle ABC, centroid D is on median line. AD=x+4 and DM=2x-4. Find AM

  • 9th grade -

    The centroid divides a median in the ration of 2:1, the longer part towards the vertex.
    so (x+4)/(2x-4) = 2/1
    solving....
    x = 4

    then AM = x+4 + 2x-4
    = 3x
    = 12

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