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Prove that r(1)^(2)+r(2)^(2) +r(3)^(3)...

Prove that
`r_(1)^(2)+r_(2)^(2) +r_(3)^(3) +r^(2) =16R^(2) -a^(2) -b^(2) -c^(2).`
where r= in radius, R = circumradius,, `r_(1), r_(2), r_(3)` are ex-radii.

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Verified by Experts

The correct Answer is:
`=16R^(2) -a^(2)-b^(2)-c^(2)=RHS`
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
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