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 ?->(Show Answer!)

1. 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

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By: anil on 05 May 2019 01.54 am

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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