The ratio of circumradius and inradius of an equilateral triangle isA)3:1 B)1:2C)2:√3D)2:1

Question

Yogesh Kumar · Answer

Let the side of the triangle be ‘a’ Circumradius=abc/4delta incentre=delta/s delta=area of the triangle=( x a 2 )/4 s=(a+a+a)/2=3a/2 Ratio: (abc/4delta)/(delta/s)=(a 3 x 3a/2)/(4 x 3a 4 /16) =(3a 4 /2)/(3a 4 /4)=2/1=2:1 answer(D)

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The ratio of circumradius and inradius of an equilateral triangle isA)3:1 B)1:2C)2:√3D)2:1

The ratio of circumradius and inradius of an equilateral triangle isA)3:1 B)1:2C)2:√3D)2:1

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The ratio of circumradius and inradius of an equilateral triangle isA)3:1 B)1:2C)2:√3D)2:1

The ratio of circumradius and inradius of an equilateral triangle isA)3:1 B)1:2C)2:√3D)2:1

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