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.
%0 Journal Article
%1 noauthororeditor
%A Gopalan, M.A.
%A Vidhyalakshmi, S.
%A Thiruniraiselvi, N.
%D 2015
%E Kumar, Dr. Shiv
%J International Journal of Innovative Science and Modern Engineering (IJISME)
%K Area/perimeter Pythagorean integer. square triangle
%N 6
%P 1-5
%T Pythagorean Triangle with Hypotenuse -4(Area/Perimeter)is 3 Times a Square Integer
%U https://www.ijisme.org/wp-content/uploads/papers/v3i6/F0851053615.pdf
%V 3
%X 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.
@article{noauthororeditor,
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.},
added-at = {2021-09-18T14:01:33.000+0200},
author = {Gopalan, M.A. and Vidhyalakshmi, S. and Thiruniraiselvi, N.},
biburl = {https://www.bibsonomy.org/bibtex/2dfd3d9262d2d9b4bfdca5e6c99ea4989/ijisme_beiesp},
editor = {Kumar, Dr. Shiv},
interhash = {9036338db03a2bf40661df6430c34aeb},
intrahash = {dfd3d9262d2d9b4bfdca5e6c99ea4989},
issn = {2319-6386},
journal = {International Journal of Innovative Science and Modern Engineering (IJISME)},
keywords = {Area/perimeter Pythagorean integer. square triangle},
language = {En},
month = may,
number = 6,
pages = {1-5},
timestamp = {2021-09-18T14:01:33.000+0200},
title = {Pythagorean Triangle with Hypotenuse -4(Area/Perimeter)is 3 Times a Square Integer},
url = {https://www.ijisme.org/wp-content/uploads/papers/v3i6/F0851053615.pdf},
volume = 3,
year = 2015
}