Let C(x, y) be the length of the hypotenuse of a right triangle with base length x and height y. Then {C(x, y)}²  is a quadratic expression of x, y. Furthermore, {C(x, y)}²  is a symmetric expression of x and y. Here, as a restrictive condition, we assume that it is known that the exponents on x and y in the formula of {C(x, y)}² are zero or positive integers. Due to this restrictive condition, only the 6 terms (x², y², xy, x, y, and constant term) need to be considered in the formula of {C(x, y)}².

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Received: December 3, 2023; Accepted: December 28, 2023; Published: January 6, 2024

How to cite this article: Chuya Fukuda, A weak proof of the Pythagorean theorem, Far East Journal of Mathematical Education 26(1) (2024), 15-16. http://dx.doi.org/10.17654/0973563124002

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