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.Equilateral triangleCompared with: Every equilateral triangle is isosceles, but most isosceles triangles are not equilateral.Inscribed angle theoremNarrower topic: Radii form isosceles triangles that explain the angle relationship.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.Scalene triangleCompared with: Unlike a scalene triangle, it has a pair of equal sides and equal opposite angles.Morley's trisector theoremRelated: Its reflection symmetry makes two of the three trisector intersections correspond.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.Constant chord theoremRelated: Two radii and a chord form an isosceles triangle, linking a chord to its central angle.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.Van Schooten's theoremNarrower topic: Joining P to the triangle’s vertices creates isosceles triangles that expose equal base angles.
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.Equilateral triangleCompared with: Every equilateral triangle is isosceles, but most isosceles triangles are not equilateral.Inscribed angle theoremNarrower topic: Radii form isosceles triangles that explain the angle relationship.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.Scalene triangleCompared with: Unlike a scalene triangle, it has a pair of equal sides and equal opposite angles.Morley's trisector theoremRelated: Its reflection symmetry makes two of the three trisector intersections correspond.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.Constant chord theoremRelated: Two radii and a chord form an isosceles triangle, linking a chord to its central angle.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.Van Schooten's theoremNarrower topic: Joining P to the triangle’s vertices creates isosceles triangles that expose equal base angles.