If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is:

If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is:
[A]6 cm
[B]9\sqrt{3}cm
[C]6\sqrt{3}cm
[D]3\sqrt{3}cm

\mathbf{6\sqrt{3} cm}
In radius =
= \frac{Side}{2\sqrt{3}}
=> 3 = \frac{Side}{2\sqrt{3}}
=> Side = 3\times 2\sqrt{3} = 6\sqrt{3} cm
Hence option [C] is the right answer.

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