A note on the area and volume of right-angled triangles with integer sides

Winston Buckley
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 18, 2012, Number 1, Pages 6–8
Full paper (PDF, 117 Kb)

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Authors and affiliations

Winston Buckley
Division of Actuarial Science and Computational Finance, FOSS
University of Technology, Jamaica

Abstract

We show that the area of every right–angled triangle with integer sides is a multiple of 6, and its volume, the product of the lengths of all three sides, is a multiple of 60.

Keywords

  • Integers
  • Triangles

AMS Classification

  • 11D09

References

  1. Edwards, H. M., Fermat’s Last Theorem, Springer Verlag, 1977.

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Cite this paper

Buckley, W. (2012). A note on the area and volume of right-angled triangles with integer sides. Notes on Number Theory and Discrete Mathematics, 18(1), 6-8.

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