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Pythagorean Triangle with Hypotenuse -4(Area/Perimeter)is 3 Times a Square Integer

, , and . International Journal of Innovative Science and Modern Engineering (IJISME), 3 (6): 1-5 (May 2015)

Abstract

We present infinity many Pythagorean triangles, where, in each, the hypotenuse -4(Area/Perimeter) is a square multiple of 3. A few numerical examples are presented. Also, a few interesting relations among the sides of the Pythagorean triangles are given. Further, by considering suitable linear combination among the generators of the Pythagorean triangles, Diophantine 3-tuples and special dio-3 tuples with suitable property are obtained.

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