# How to generate Pythagorean triples - 1

Shirali, Shailesh
(2012)
*How to generate Pythagorean triples - 1.*
At Right Angles, 1 (1).
pp. 29-32.

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## 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.

Item Type: | Articles in APF Magazines |
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Uncontrolled Keywords: | Generate, Pythagorean,Triples, Number theoretic, Odd Squares |

Subjects: | Natural Sciences > Mathematics |

Divisions: | Azim Premji University > University publications > At Right Angles |

Depositing User: | Mr. Sachin Tirlapur |

Date Deposited: | 25 Oct 2018 14:41 |

Last Modified: | 26 Oct 2018 04:01 |

URI: | http://publications.azimpremjifoundation.org/id/eprint/1577 |

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