inequality m13
Source:
November 7, 2003
inequalitiesinequalities proposed
Problem Statement
If , , are the sidelengths of a triangle, then prove that
\frac {3\left(a^4 \plus{} b^4 \plus{} c^4\right)}{\left(a^2 \plus{} b^2 \plus{} c^2\right)^2} \plus{} \frac {bc \plus{} ca \plus{} ab}{a^2 \plus{} b^2 \plus{} c^2}\geq 2.