1. G is the centroid of ΔABC. The medians AD and BE intersect at right angles. If the lengths of AD and BE are 9 cm and 12 cm respectively: then the length of AB (in cm) is
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- By: anil on 05 May 2019 01.52 am
Given : AD = 9 & BE = 12 are medians. G is centroid of $$ riangle$$ABC $$angle$$AGB = 90 To find : AB = ? Solution : A centroid divides a median in the ratio = 2 : 1 => AG : GD = 2 : 1 => AG = 6 cm Similarly, BG = 8 cm Now, in right angled $$ riangle$$ABC => AB = $$sqrt{(AG)^2 + (BG)^2}$$ => AB = $$sqrt{6^2 + 8^2} = sqrt{100}$$ => AB = 10 cm
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