# 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]$3\sqrt{3}cm$

$\mathbf{6\sqrt{3} cm}$
$= \frac{Side}{2\sqrt{3}}$
$=> 3 = \frac{Side}{2\sqrt{3}}$
$=> Side = 3\times 2\sqrt{3} = 6\sqrt{3} cm$