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Q.

In an equilateral triangle, if inradius is a rational number then which of the following is /are correct ?

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a

exradii are alwass rational

b

circumradius is always rational

c

perimeter is always rational

d

area is always ir-rational

answer is A, B, C.

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Detailed Solution

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R=2r,r=(sa)tan30=s3tan30s is irrational Δ is irrational 
r1=stan30=3r (rational) 

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In an equilateral triangle, if inradius is a rational number then which of the following is /are correct ?