A Pythagorean triple consists of three positive integers a, b, and c, such that a 2 + b 2 = c 2 . Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime.
Incircle and excircles of a triangle Pythagorean theorem Diophantus II.VIII Singly and doubly even Cut-the-knot Coprime Euclid's Elements Pythagorean quadruple Nonhypotenuse number Pythagorean prime Heronian triangle Tangent half-angle formula Plimpton 322 T. L. Heath Parity (mathematics) Pell number Wacław Sierpiński Annals of Mathematics Orthogonal group Pierre de Fermat Fermat's last theorem Andrew Wiles Complex plane Proclus Modular arithmetic On-Line Encyclopedia of Integer Sequences Euclid Triangle Integer
