Hadwiger-Finsler inequality

In a triangle with sides $a$, $b$, $c$ and an area $A$ the following inequality holds:

$$a^2+b^2+c^2\ge {(a-b)}^2+{(b-c)}^2+{(c-a)}^2+4A\sqrt{3}.$$

Title	Hadwiger-Finsler inequality
Canonical name	HadwigerFinslerInequality
Date of creation	2013-03-22 12:45:18
Last modified on	2013-03-22 12:45:18
Owner	mathwizard (128)
Last modified by	mathwizard (128)
Numerical id	5
Author	mathwizard (128)
Entry type	Theorem
Classification	msc 51M16
Related topic	WeizenbocksInequality