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Heron triangles with polynomial value sides

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Abstract

Using the method of undetermined coefficients and the theory of Pellian equation, we show that there exist infinitely many isosceles Heron triangles whose sides are certain polynomial values.

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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

    M. Jiang & Y. Zhang

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  1. M. Jiang
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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), Younger Teacher Development Program of Changsha University of Science and Technology (Grant No. 2019QJCZ051), and Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science and Technology) and the Natural Science Foundation of Zhejiang Province (Project No. LY18A010016).

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Jiang, M., Zhang, Y. Heron triangles with polynomial value sides. Acta Math. Hungar. 165, 275–286 (2021). https://doi.org/10.1007/s10474-021-01178-y

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  • DOI: https://doi.org/10.1007/s10474-021-01178-y

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