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In a triangle abc if nbspr1 is the exradius of the excircle

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Reference no: EM13371176

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 r3 is 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.

formulas

r1=(area of triangle)/(s-a)

r1=stanA/2

Reference no: EM13371176

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