Hadwiger–Finsler inequality


In mathematics, the Hadwiger–Finsler inequality is a result on the geometry of triangles in the Euclidean plane. It states that if a triangle in the plane has side lengths a, b and c and area T, then

Related inequalities

Weitzenböck's inequality can also be proved using Heron's formula, by which route it can be seen that equality holds in if and only if the triangle is an equilateral triangle, i.e. a = b = c.
Where

History

The Hadwiger–Finsler inequality is named after, who also published in the same paper the Finsler–Hadwiger theorem on a square derived from two other squares that share a vertex.