# 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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