Solution
Side of equilateral triangle (a) = 9 cm
Median AD of equilateral triangle = $$\frac{\sqrt{3}a}{2}$$
=> $$AD=\frac{9\sqrt{3}}{2}$$
Also, a centroid divides the median in the ratio 2 : 1
=> AG : GD = 2 : 1
$$\therefore AG = \frac{2}{3} \times AD$$
= $$\frac{2}{3} \times \frac{9\sqrt{3}}{2} = 3\sqrt{3}$$ cm
=> Ans - (A)
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