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

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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