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Question

Question: In an equilateral triangle the inradius and the circum radius are connected by –...

In an equilateral triangle the inradius and the circum radius are connected by –

A

r = 4 R

B

r = R / 2

C

r = R / 3

D

None of these

Answer

r = R / 2

Explanation

Solution

R = = x2sin60\frac { x } { 2 \sin 60 } =

r =

Rr\frac { \mathrm { R } } { \mathrm { r } } = 2 ̃ r =