Question 122

BE and CF are two medians of ΔABC and G the centroid. FE cuts AG at O. If OG = 2cm, then the length of AO is

Solution

AD, BE and CF are medians of triangle ABC passing through centroid G.

A centroid divides a median in the ratio 2 : 1

=> AG : GD = 2 : 1

=> AO = OG = GD

=> OG = $$\frac{1}{3}$$AO

=> AO = 3 * OG = 3 * 2 = 6 cm

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