Shirali, Shailesh
(2012)
How to generate Pythagorean triples  1.
At Right Angles, 1 (1).
pp. 2932.
Abstract
The relation a^2+b^2=c^2 is so familiar to us that we often quote it without saying what a, b, c represent! And this, no doubt, is because the Pythagorean theorem is so well known. We know that if a, b, c are the sides of a right angled triangle, with c as the hypotenuse, then a^2
+b^2=c^2. We also know, conversely, that if a, b, c are positive numbers which satisfy this relation, then one can construct a right angled triangle with legs a, b and hypotenuse c. Because of this association, we call a triple (a, b, c) of positive integers satisfying this relation a Pythagorean triple, PT for short. But such triples have additional properties of interest that have nothing to do with their geometric origins; they have number theoretic properties, and we will be studying some of them in this and some follow up articles.
Actions (login required)

View Item 