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In triangle ABC, let angle C = pi//2. If...

In triangle ABC, let `angle C = pi//2`. If r is the inradius and R is circumradius of the triangle, then `2(r + R)` is equal to

A

a+b

B

b+c

C

c+a

D

a+b+c

Text Solution

Verified by Experts

We have,
`R=c/(2sinC)=c/2` and,`r=(s-c)tanC/2=s-c`
`therefore2(R=r)=2(c/2+s-c)=2s-c=a+b`
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