https://hdl.handle.net/13049/689 2026-04-29T04:33:24Z https://hdl.handle.net/13049/690 Quadratic sequences in Pythagorean triples Ochieng, Raymond Calvin; Chikunji, Chiteng'A John; Onyango-Otieno, Vitalis Using the Euclid's formula, we obtain an alternative formula for generating Pythagorean triples, both primitive and non-primitive. It easy to classify Pythagorean triples using this formula based on the divisibility of the leg of a Pythagorean triple by any positive integer. The differences in lengths between the hypotenuse and the legs of a Pythagorean triple obtained by this alternative formula form Quadratic sequences. These quadratic sequences have applications in various fields such as tiling. 2022-06-16T00:00:00Z