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# Hadwiger-Finsler inequality

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

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

Related:

WeizenbocksInequality

Type of Math Object:

Theorem

Major Section:

Reference

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