1. The centroid of an equilateral triangle ABC is G. If AB is 6 cms, the length of AG is
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By: anil on 05 May 2019 01.49 am
Side of equilateral triangle (a) = 6 cm Median AD of equilateral triangle = $$frac{sqrt{3}a}{2}$$ => $$AD=frac{6sqrt{3}}{2}$$ cm Also, a centroid divides the median in the ratio 2 : 1 => AG : GD = 2 : 1 $$ herefore AG = frac{2}{3} imes AD$$ = $$frac{2}{3} imes frac{6sqrt{3}}{2} = 2sqrt{3}$$ cm => Ans - (B)
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