Q. For an equilateral triangle, the ratio of the in-radius and the ex-radius is:
Answer: $latex 1 : 2$
Notes: In-radius $latex = \frac{side}{2\sqrt{3}}&s=1$ Circum-radius $latex = \frac{side}{\sqrt{3}}&s=1$ ∴ Required ratio $latex = \frac{side}{2\sqrt{3}} : \frac{side}{\sqrt{3}}&s=1$ $latex = \sqrt{3} : 2\sqrt{3} = 1 : 2$ Hence option [D] is the right answer.

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