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Heron triangles with figurate number sides

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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.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Changsha University of Science and Technology, Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha, 410114, China

    J. Peng & Y. Zhang

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  1. J. Peng
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  2. Y. Zhang
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Correspondence to Y. Zhang.

Additional information

This research was supported by the National Natural Science Foundation of China (Grant No. 11501052).

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Peng, J., Zhang, Y. Heron triangles with figurate number sides. Acta Math. Hungar. 157, 478–488 (2019). https://doi.org/10.1007/s10474-018-00907-0

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  • DOI: https://doi.org/10.1007/s10474-018-00907-0

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