Explorations on triangles with integer sides

Jha, Shreyan (2019) Explorations on triangles with integer sides. At Right Angles (5). pp. 41-42. ISSN 2582-1873

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Abstract

In the July 2018 issue of At Right Angles, author A S Rajagopalan had explored the number of triangles with integer sides. He had shown that if two of the sides are the integers a and b, with a > b, then the third side c can take only integer values from a + b – 1 to a – b + 1, leading to the conclusion that there can only be 2b – 1 such triangles. In this article, student Shreyan develops a formula for the number of triangles (a, b, c) with integer sides when b is fixed and a ≤ b ≤ c.

Item Type:	Articles in APF Magazines
Authors:	Jha, Shreyan
Document Language:	Language English
Uncontrolled Keywords:	Integers, triangle inequality, counting, constraints, linear programming
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/2134
Publisher URL:

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