Conference Papershttps://hdl.handle.net/13049/6892026-04-29T04:34:16Z2026-04-29T04:34:16ZQuadratic sequences in Pythagorean triplesOchieng, Raymond CalvinChikunji, Chiteng'A JohnOnyango-Otieno, Vitalishttps://hdl.handle.net/13049/6902026-03-17T08:54:24Z2022-06-16T00:00:00ZQuadratic 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