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Question

Seg AD and seg BE are medians of ∆ ABC and point G is the centroid. If l (AG) = 5 cm, find l (GD). IF l (GE) = 2 cm, find l (BE).

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Solution

Given: In ∆ABC, AD and BE are medians and point G is the centroid such that AG = 5 cm, and GE = 2 cm.



GD = ? and BE = ?

In ∆ABC,

Since, G is the centroid and AD is median.

So,

AG:GD=2:1AGGD=215GD=2GD=52 GD=2.5 cm

Similarly,

Since, G is the centroid and BE is median.

So,

BG:GE=2:1BGGE=21BG2=2BG=2×2 BG=4 cm BE=BG+GE=4+2=6 cm

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