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.
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=21⇒x=6 Hence, length of the median = 12 + 6 = 18 units.