Question 136

What is the ratio of in-radius and circum-radius of an equilateral triangle?

Solution

In case of an equilateral triangle In-radius(r) = $$\frac{side}{2\sqrt{3}}$$ and circum-radius(R) = $$\frac{side}{\sqrt{3}}$$

$$\therefore$$ Ratio between them = $$\frac{side}{2\sqrt{3}}$$ : $$\frac{side}{\sqrt{3}}$$

$$\Rightarrow$$ 1:2

Hence, option A is the correct answer.

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