Pythagorean Triangles and Fermat’s Last Theorem

Abstract

A Pythagorean triangle is a right triangle all of whose sides have integer lengths. For example, let ABC be a triangle with a right angle at vertex C. Suppose that the sides AC and BC have lengths 5 and 12, respectively. Then the hypotenuse has length \( \sqrt {{{5^{2}}}} + {12^{2}} = 13\). Since all three sides have integer lengths, this is a Pythagorean triangle.KeywordsPositive IntegerNonnegative IntegerPrevious TheoremInteger SolutionDiophantine EquationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.