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Question: If circum-radius and in-radius of a triangle be 10 and 3 respectively then value of a cot A + b cot...

If circum-radius and in-radius of a triangle be 10 and 3

respectively then value of a cot A + b cot B + c cot C is equal

to –

A

13

B

26

C

39

D

None of these

Answer

26

Explanation

Solution

We know in DABC = a cot A + b cot B + c cot C

= 2(R + r)

= 26