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A group of Pythagorean triples using the inradius

Published online by Cambridge University Press:  21 June 2021

Howard Sporn
Howard Sporn*
Affiliation:
Department of Mathematics and Computer Science, Queensborough Community College, Bayside, NY 11364, USA e-mail: hsporn@qcc.cuny.edu

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Pythagorean triples are triples of integers (a, b, c) satisfying the equation a2 + b2 = c2. For the purpose of this paper, we will take a, b and c to be positive, unless otherwise stated. Then, of course, it follows that a triple represents the lengths of sides of a right triangle. Also, for the purpose of this paper, we will consider the triples (a, b, c) and (b, a, c) to be distinct, even though they represent the same right triangle. A primitive Pythagorean triple is one for which a, b and c are relatively prime.

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Type
Articles
Information
The Mathematical Gazette , Volume 105 , Issue 563 , July 2021, pp. 209 - 215
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Copyright
© Mathematical Association 2021

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