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For an equilateral triangle, what is the ratio of the inradius, circumradius, and one exradius?

1. 2: 3: 5
2. 1: 2: 3
3. 3: 7: 9
4. 3: 7: 9

Correct answer: 1: 2: 3

Solution

In an equilateral triangle, the inradius is half the circumradius, and the exradius is one and a half times the inradius, leading to the ratio of 1: 2: 3 for the inradius, circumradius, and one exradius respectively.

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