Explorations on triangles with integer sides
Jha, Shreyan (2019) Explorations on triangles with integer sides. At Right Angles (5). pp. 4142. ISSN 25821873

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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: 


Uncontrolled Keywords:  Integers, triangle inequality, counting, constraints, linear programming  
Subjects:  Natural Sciences > Mathematics  
Divisions:  Azim Premji University > University Publications > At Right Angles  
Full Text Status:  Public  
URI:  http://publications.azimpremjiuniversity.edu.in/id/eprint/2134  
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