Geometryhard · Past Paper

What is the ratio of the inradius (r) to the circumradius (R) of an equilateral triangle?

A1:2
B1:3
C2:3
D1:sqrt(3)

✓ Correct Answer: A1:2

For an equilateral triangle, R = a/sqrt(3) and r = a/(2*sqrt(3)). Thus r:R = 1:2.

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