KnowraPythagorean theoremLinked fromLinked fromThe 63 pages that link to Pythagorean theorem, each with the reason it gives.All 63Broader topic 8Related 47Narrower topic 1Compared with 7Pythagorean trigonometric identityRelated: Dividing this theorem by the hypotenuse squared yields the sine-cosine identity.Stewart's theoremCompared with: It is a simpler special-purpose length relation; Stewart’s theorem handles a general cevian partition.Weitzenböck's inequalityCompared with: Both involve squared side lengths, but this theorem is an equality restricted to right triangles.Fermat's right triangle theoremRelated: It converts integer side lengths into the Diophantine equation underlying the proof.Square root of 2Related: A right triangle with unit legs has a hypotenuse of length square root of 2.Apollonius's theoremRelated: A perpendicular construction proves the median relation by applying this identity twice.Brahmagupta–Fibonacci identityRelated: The identity combines the square-coordinate structure underlying right-triangle integer solutions.British flag theoremRelated: Each squared distance in the theorem follows from this relation.Geometric mean theoremRelated: It gives an algebraic route to the same altitude relation using the smaller right triangles.Anne's theoremCompared with: Its familiar name and precise statement show how an established theorem is identifiable.De Gua's theoremRelated: De Gua's theorem extends this sum-of-squares pattern from lengths to face areas.Erdős–Anning theoremRelated: Its integer solutions give familiar finite configurations with integer distances.Inverse Pythagorean theoremRelated: Its side-length equation becomes a test for whether a triangle has a right angle.Previous2 of 2