KnowraGeometric inequalityLinked fromLinked fromThe 10 pages that link to Geometric inequality, each with the reason it gives.All 10Related 3Narrower topic 7Synthetic geometryRelated: Synthetic proofs can establish inequalities through comparisons, constructions, and geometric transformations.Bretschneider's formulaRelated: The area formula yields bounds by varying the opposite-angle sum while fixing the sides.Weitzenböck's inequalityNarrower topic: Weitzenböck's result is a sharp example connecting elementary metric quantities.Hadwiger–Finsler inequalityNarrower topic: This result is one sharp example in the general study of geometric bounds.Pedoe's inequalityNarrower topic: Pedoe's result compares two triangles through areas and side lengths.Barrow's inequalityNarrower topic: Barrow's result is a distance comparison in plane geometry.Brunn–Minkowski theoremNarrower topic: Brunn–Minkowski is a foundational volume inequality within this broader family.Erdős–Mordell inequalityNarrower topic: The result belongs to a broad tradition of bounding geometric measurements.Hinge theoremNarrower topic: The theorem provides an order relation between opposite sides from angle information.Van Schooten's theoremRelated: The identity can be used to establish bounds when the three distances appear in a larger problem.