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Question

ABC is a equilateral triangle of side 4cm.if R,r,and h are the circumradius, inradius,and altitude respectively, thenR+rh is equal to?

A
4
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B
2
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C
1
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D
3
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Solution

The correct option is C 1
Given that, ΔABC is an equilateral triangle.
a=b=c=4 and A=B=C=π3
now, s=6 and =3a24=43
From sine rule: asinA=2R
R=42sinπ3=43
now, r=s=23
and h=2a=2×434=63
Therefore, R+rh=1
Ans: C

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