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Acta Mathematica Hungarica

, Volume 157, Issue 2, pp 478–488 | Cite as

Heron triangles with figurate number sides

  • J. Peng
  • Y. ZhangEmail author
Article

Abstract

By the theory of Pellian equation and the method of undetermined coefficients, we show that there exist infinitely many isosceles Heron triangles whose sides are polygonal numbers and binomial coefficients.

Key words and phrases

Heron triangle figurate number polygonal number binomial coefficient Pellian equation 

Mathematics Subject Classification

primary 51M25 secondary 11D72 

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2019

Authors and Affiliations

  1. 1.School of Mathematics and Statistics, Changsha University of Science and TechnologyHunan Provincial Key Laboratory of Mathematical Modeling and Analysis in EngineeringChangshaChina

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