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In triangle ABC, D is the centroid and M is the midpoint of segment AC. If BD=x+9 and DM=6, find MB.

  • geometry -

    the centroid divides any median in the ratio of 2:1, the shorter part towards the side.
    (x+0):6 = 2:1
    x = 3
    then BD = 3+9 = 12
    so MB = BD + DM = 18

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