Y by Adventure10, Mango247
Let
be side lengths of a triangle and
. Find the minimum of
![\[ a^{2}+b^{2}+c^{2}+\frac{4abc}{3}\]](//latex.artofproblemsolving.com/1/c/4/1c40696613eca5b0d4384610529bb09c89d7c1b7.png)


![\[ a^{2}+b^{2}+c^{2}+\frac{4abc}{3}\]](http://latex.artofproblemsolving.com/1/c/4/1c40696613eca5b0d4384610529bb09c89d7c1b7.png)
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