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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 8 | Year 2019 | Article Id. IJMTT-V65I8P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I8P519

Special Pythagorean Triangle In Relation With Pronic Numbers


S. Vidhyalakshmi, T. Mahalakshmi, M.A. Gopalan
Abstract

This paper illustrates Pythagorean triangles, where, in each Pythagorean triangle, the ratio 2 * Area / Perimeter is a Pronic number.

Keywords
Pythagorean triangles,Primitive Pythagorean triangle, Non primitive Pythagorean triangle, Pronic numbers.
References

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[10] G. Janaki and R. Radha, Special pairs of Pythagorean triangle and Harshad numbers, Asian Journal of Science and Technology, Volume.7, Issue. 8, August 2016, pp 3397-3399.
[11] G. Janaki and P. Saranya, Special Pythagorean triangle in connection with triangles Narcissistic Numbers of order 3 and 4, AIJRSTEM 16- 177, Volume 14, Issue.2, 2016, pp 150-153.
[12] G. Janaki and R. Radha, Pythagorean Triangle with Area/Perimeter as a Harshad number of digits 4,5 and 6, IJRASET, Volume. 5, Issue.12, December 2017, pp 1754-1762.
[13] S. Mallika, Pythagorean triangle with 2A/P+H-Leg as a Narcisstic number of orders 3,4 and 5, GJESR, Volume 6, Issue 3, March 2019, pp 1-4.
[14] S. Mallika, A connection between Pythagorean triangle and Sphenic Numbers, IJRASET, Volume 7, Issue III, March 2019, pp 63-66.
[15] A. Kavitha, A connection between Pythagorean triangle and Harshad Numbers, IJRASET, Volume 7, Issue III, March 2019, pp 91-101.
[16] S.Vidhyalakshmi, M.A. Gopalan, T. Mahalakshmi, Pythagorean triangle with 2 * A /P as Gopa-Vidh Number, IJRAR, Volume 6, Issue 2, April-June 2019, pp 59-63.
[17] S.Vidhyalakshmi, M.A. Gopalan, T. Mahalakshmi, Special characterization of Pythagorean triangles in connection with Trimorphic Numbers, accepted for publication in IJSTR.

Citation :

S. Vidhyalakshmi, T. Mahalakshmi, M.A. Gopalan, "Special Pythagorean Triangle In Relation With Pronic Numbers," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 8, pp. 166-169, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I8P519

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