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Pythagorean Triples

The Mathematics Teacher, 1986
If a class of students completing a course in plane geometry is asked to cite a few examples of primitive Pythagorean triples (those whose greatest common divisor is 1), their answers can be assumed to be 3, 4, 5; 5, 12, 13; 8. 15, 17: and 7, 24, 25.
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A CHARACTERIZATION OF PYTHAGOREAN TRIPLES

JP Journal of Algebra, Number Theory and Applications, 2017
Summary: The main aim of this paper is to present an analytic result which characterizes the Pythagorean triples via a cathetus. This way has the convenience to find easily all Pythagorean triples \(x,y,z\in\mathbb{N}\), where \(x\) is a predetermined integer, which means finding all right triangles whose sides have integer measures and one cathetus is
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