31Jul 2015
On Obtaining Some Special Pythagorean Triangles with their Areas as Pentagonal Numbers
- Head, Deptt. Of Mathematics, St. Aloysius College, Jabalpur, India
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Pythagorean Triangles which were first studied by the Pythagoreans around 400 B.C., remains one of the fascinated topics for those who just adore numbers. In this paper, Special Pythagorean Triangles are obtained with their areas as Pentagonal numbers using software Mathematica. Existence of Pythagorean triangles with two consecutive sides and their areas as pentagonal numbers is also investigated. Few interesting observations are made. Various 3D graphs of such Triangles as Pythagorean triplets are plotted.
[Mita Darbari (2015); On Obtaining Some Special Pythagorean Triangles with their Areas as Pentagonal Numbers Int. J. of Adv. Res. 3 (Jul). 599-601] (ISSN 2320-5407). www.journalijar.com
Dr. Mita Darbari
