Question

What is the inradius of an equilateral triangle the length of whose side is $6\sqrt{3}$?

• A. 1.6 cm
• B. 3 cm
• C. 1.8 cm
• D. 1.9 cm

Answer 1

The correct option is B

3 cm

As per the question

We have to find the inradius of an equilateral triangle the length of whose sides is $6\sqrt{3}$.

The inradius of an equilateral triangle = $s\times \frac{\sqrt{3}}{6}$

Where "s" is the length of the side of the equilateral triangle.

On substituting the values we get:

Inradius = $6\sqrt{3}\times \frac{\sqrt{3}}{6}=3$ cm

Hence, the inradius of an equilateral triangle the length of whose side is $6\sqrt{3}$ is 3 cm.