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Answer to Question #6557 in Trigonometry for anil jha

Question #6557
In a triangle ABC,if r1 is the exradius of the excircle opposite to A,r2 is the exradius of the excircle opposite to B and r3is the exradius of the excircle opposite to C....
prove that (ar1+br2+cr3)/abc=(1/r)-(1/2R)
where r is the inradius and R is the circum radius.

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