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Question

If in a triangle ABC, r1=2,r2=3 and r3=6 then a=

A
4
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B
1
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C
2
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D
3
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Solution

The correct option is D 3
r1=2,r2=3,r3=6
r1r2+r2r3+r3r1=s2 ...(1)
subsituting
2.3+3.6+6.2=s2
s2=36
s=6
Also, 1r1+1r2+1r3=1r ...(2)
12+13+16=1r
3+2+16=1rr=1
r=Δsr×s
Δ=6×1=6
Also, r1=Δsa
2=66a
122a=6
6=2a
a=3

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