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]$latex 6 cm$
[B]$latex 9\sqrt{3}cm$
[C]$latex 6\sqrt{3}cm$
[D]$latex 3\sqrt{3}cm$

$latex \mathbf{6\sqrt{3} cm}$
In radius =
$latex = \frac{Side}{2\sqrt{3}}&s=1$
$latex => 3 = \frac{Side}{2\sqrt{3}}&s=1$
$latex => Side = 3\times 2\sqrt{3} = 6\sqrt{3} cm$
Hence option [C] is the right answer.


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