Y by Adventure10, Mango247
Let
and
be the lengths of the sides of a triangle
. If
, prove that
![\[ {{1}\over{a^2}}+{{1}\over{b^2}}+{{1}\over{c^2}}+{{1}\over{4abc}}\geq \ 32 \]](//latex.artofproblemsolving.com/4/8/2/482ee2c1900bf49395f28ad616a84f33490be678.png)




![\[ {{1}\over{a^2}}+{{1}\over{b^2}}+{{1}\over{c^2}}+{{1}\over{4abc}}\geq \ 32 \]](http://latex.artofproblemsolving.com/4/8/2/482ee2c1900bf49395f28ad616a84f33490be678.png)
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