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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 ∆ABC = a cot A + b cot B + c cot C

= 2(R + r) = 26