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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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If r1,r2,r3r_1, r_2, r_3 are ex-radii of the encircles of triangle ABCA B C then (s−a)r1+(s−b)r2+(s−c)r3(s-a) r_1+(s-b) r_2+(s-c) r_3 is
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Correct option: B
3rs3 r s
Option B (3rs) is correct because the sum of the given expression simplifies to 3 times the area of the triangle, which is 3rs.

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