Triangles and Pell’s equation

Mouli, Haran (2022) Triangles and Pell’s equation. At Right Angles (12). pp. 123-124. ISSN 2582-1873

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Abstract

In a WhatsApp group of Math enthusiasts, a question was posed some time ago: 13,14,15 are the sides of a triangle with rational area and side lengths that are consecutive integers. Can we find more such triangles? This question led me to ask, how many such triangles exist? Can we come up with a general formula to generate such triangles?

Item Type: Articles in APF Magazines
Authors: Mouli, Haran
Document Language:
Language
English
Uncontrolled Keywords: Triangle, area, rational number, perfect square, Pell’s equation
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
URI: http://publications.azimpremjifoundation.org/id/eprint/3348
Publisher URL:

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