Question

The inradius of an equilateral triangle is $\frac{\sqrt{3}}{3}$ cm. What is the length of each side of the triangle?

• A. 2 cm
• B. 3 cm
• C. 4 cm
• D. 5 cm

Answer 1

The correct option is A

2 cm

Given that

The inradius of an equilateral triangle is $\frac{\sqrt{3}}{3}$ cm.

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:

$\frac{\sqrt{3}}{3}=s\times \frac{\sqrt{3}}{6}$

$s=\frac{\sqrt{3}}{3}\times \frac{6}{\sqrt{3}}=2$ cm

Hence, the length of the sides of the equilateral triangles is 2 cm.