In geometry, Pedoe's inequality, named after Daniel Pedoe and Joseph Jean Baptiste Neuberg, states that if a, b, and c are the lengths of the sides of a triangle with area ƒ, and A, B, and C are the lengths of the sides of a triangle with area F, then A 2 + B 2 + C 2 ≥ 16 F f, {\displaystyle A^{2}+B^{2}+C^{2}\geq 16Ff,\,} with equality if and only if the two triangles are similar with pairs of corresponding sides,, and. Wikipedia