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GEOMETRY

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

  • GEOMETRY -

    AM = AD+DM = x+4+2x-4 = 3x
    we also know that AD = 2DM, so
    AM = 3(2x-4)

    so, 3x = 6x-12
    x = 4

    AM = 12

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