KnowraIsosceles triangleLinked fromLinked fromThe 18 pages that link to Isosceles triangle, each with the reason it gives.All 18Broader topic 12Related 2Narrower topic 2Compared with 2TriangleBroader topic: Its paired sides and base angles illustrate symmetry within the triangle family.OrthocenterBroader topic: Its symmetry axis contains the orthocenter.Euler lineBroader topic: Its symmetry axis contains the circumcenter, centroid, and orthocenter, so it is also its Euler line.Euler's inequalityBroader topic: Its symmetry makes the relationship between its inradius and circumradius easy to inspect.Exterior angle theoremBroader topic: Its equal remote angles make the exterior angle twice either base angle.Feuerbach's theoremBroader topic: Its symmetry reduces the four tangency configurations to fewer distinct cases.Conway circle theoremBroader topic: Reflection symmetry pairs the tangency points and simplifies the circle configuration.Droz-Farny line theoremBroader topic: Its symmetry can make the midpoint line especially apparent.Equal Incircles TheoremBroader topic: Its symmetry simplifies calculations of area and inradius.Lester's theoremBroader topic: Reflection symmetry can make paired centers coincide or align on the symmetry axis.Marden's theoremBroader topic: An isosceles root triangle gives a symmetric inellipse whose foci lie on its symmetry axis.Steiner–Lehmus theoremBroader topic: The theorem’s conclusion is precisely that the given triangle has this symmetry.