Radius of incircle of an equilateral triangle is $9\sqrt{3}$. What will be the perimeter of this equilateral triangle ?

162 cm

We know that,

The inradius of the equilateral triangle = \(\frac{side}{2\sqrt {3}}\)

According to the question,

\(\frac{side}{2\sqrt {3}}\) = $9\sqrt{3}$

side = 54

So, the perimeter of a equilateral triangle = 3 × side = 3 × 54 = 162 cm