KnowraEuler's inequalityLinked fromLinked fromThe 8 pages that link to Euler's inequality, each with the reason it gives.All 8Broader topic 1Related 4Compared with 3IncenterRelated: The incenter’s inradius is compared with the circumradius in this bound.IncircleRelated: It places a general bound on the incircle’s radius relative to the circumcircle.Geometric inequalityBroader topic: It is a compact example of a sharp relation among intrinsic lengths of a triangle.Weitzenböck's inequalityCompared with: Unlike the squared-side area bound, it compares two circle radii and shares equality at equilateral triangles.Euler's quadrilateral theoremCompared with: Despite the shared name, it is an unrelated result about triangle radii.Hadwiger–Finsler inequalityCompared with: It is another classical bound on triangle geometry, but compares radii rather than area and side lengths.Pedoe's inequalityRelated: It exemplifies how triangle geometry turns shape constraints into sharp numerical bounds.Equal Incircles TheoremRelated: It relates the theorem’s radius to a distinct triangle invariant.