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If in Delta ABC, (a -b) (s-c) = (b -c) (...

If in `Delta ABC, (a -b) (s-c) = (b -c) (s-a)`, prove that `r_(1), r_(2), r_(3)` are in A.P.

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Lengths of the tangents from A,B and C to the incircle are in A.P., then (a) r_(1), r_(2), r_(3) are in H.P (b) r_(1), r_(2), r_(3) are in A.P (c)a, b, c are in A.P (d) cos A = (4c -3b)/(2c)