Question

What is the inradius of an equilateral triangle, the length of whose sides is $2\sqrt{3}$ cm?

• A. 3 cm
• B. 2 cm
• C. 4 cm
• D. 1 cm

Answer 1

The correct option is D

1 cm

Given that

The length of the sides of an equilateral triangle is $2\sqrt{3}$ cm.

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

Where "a" is the length of the sides of the triangle.

On substituting the values we get

The inradius of an equilateral triangle, the length of whose sides is $2\sqrt{3}$ cm = $2\sqrt{3}\times \frac{\sqrt{3}}{6}=\frac{6}{6}=1$ cm