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If r1, r2 , r3 are ex-radii of the encircles of triangle ABC then (s - a) r1 + (s - b)r2 + (s - c)r3 is

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If r1, r2 , r3 are ex-radii of the encircles of triangle ABC then (s - a) r1 + (s - b)r2 + (s - c)r3 is

(A)  rs

(B)  3rs

(C)  rs/3

(D)  None of these

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1 Answer

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Best answer

Correct option   (B) 3rs

 Now,

(s - a)r1 + (s - b)r2+(s - c)r3 = 3∆ = 3rs

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