Grade 12Algebra
The ratio of circumradius and inradius of an equilateral triangle isA)3:1 B)1:2C)2:√3D)2:1
1 Answer
Yogesh Kumar
Let the side of the triangle be ‘a’
Circumradius=abc/4delta
incentre=delta/s
delta=area of the triangle=(
x a2)/4
s=(a+a+a)/2=3a/2
Ratio: (abc/4delta)/(delta/s)=(a3 x 3a/2)/(4 x 3a4/16)
=(3a4/2)/(3a4/4)=2/1=2:1 answer(D)
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