In a triangle A B C , r 1 cot A 2 + r 2 cot B 2 + r 3 cot C 2 =

Question

In a triangle A B C , r 1 cot A 2 + r 2 cot B 2 + r 3 cot C 2 =, s, 2 s, 3 s, s 2

MARKS App · Accepted Answer

Recall that cot A 2 = s s - a ∆ and r 1 = ∆ s - a . i.e. r 1 cot A 2 + r 2 cot B 2 + r 3 cot C 2 = ∆ s - a × s s - a ∆ + ∆ s - b × s s - b ∆ + ∆ s - c × s s - c ∆ = 3 s

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