Radius of incircle of an equilateral triangle is $9\sqrt{3}$. What will be the perimeter of this equilateral triangle ?
Answer & explanation
Correct answer: option 2
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