How to generate all integral triangles containing a given angle

Nelson Petulante and Ifeoma Kaja

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-4

Abstract:

We present an elementary prescription based on the rational secant method for generating all the integral triangles containing a given angle of rational cosine. This is a direct generalization of the ancient problem of finding all the Pythagorean triples. As an example, we discuss a specific equation studied by Diophantus of Alexandria, which turns out to be equivalent to the problem of finding all the integral triangles containing a 60 ∘ angle. The material developed here is elementary enough for inclusion in undergraduate courses and advanced high school courses.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:520753

DOI: 10.1155/S016117120000048X

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