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Question

The centroid of a triangle is located 12 units from one of the vertices of a triangle. Find the length of the median of the triangle drawn from that same vertex.
  1. 18


Solution

The correct option is A 18
Let AD be the median of ΔABC.
Let G be the centroid of ΔABC.
Let GD = x unit
Length of median = 12 + x.
Since, centroid divides median in 2 : 1 ratio.
12:x=2:1
12x=21x=6
Hence, length of the median = 12 + 6 = 18 units.

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