A Different Approach on a Pythagorean Triangle Which Satisfies [ Oneleg of the Right Angle Triangle/2pd ] - 6 [Area/Perimeter] = K

Authors(2) :-S. Sriram, E. Kavitha Rani

Patterns of Pythagorean Triangle for each of which [ Oneleg of the Right Angle Triangle/2pd ] - 6 [Area/Perimeter] may be expressed as an integer(K). A few interesting relations are also given.

Authors and Affiliations

S. Sriram
Department of Mathematics, National College, Trichy, Tamil Nadu India
E. Kavitha Rani
Department of Mathematics, Government Arts College, Thiruverumbur, Trichy, Tamil Nadu India

Pythagorean triangle, Ratio (Area/Perimeter), Nasty numbers.

  1. E. Dickson, History of the Theory of Numbers, Chelsea Publishing Company, New York, 1952.
  2. Daniel Shanks, "Solved and Unsolved Problems in Number Theory", Spartan Books, New York, 1971.
  3. Paulo Ribenboim, "Fermat’s Last Theorem for Amateurs". Sprinter-Verlag, New York, 1999.
  4. Albert H. Beiler, "Recreations in the Theory of Numbers", Dover Publications, New York, 1963.
  5. B. Malik, "Basic Number Theory", Vikas Publishing House Pvt. Limited, New Delhi,
  6. J. Mordell, Diophatine Equations, Academic Press, New York, 1969.
  7. Niven, Ivan, Zuckermann, S. Herbert, Montgomery and L.Hugh, An introduction to the Theory of Numbers, Jhon Wiley and Sons. Inc, New York, 2004.
  8. A. Gopalan and S. Devibala, Pythagorean Triangle: A Treassure House, Proceeding of the KMA National Seminar on Algebra, Number Theory and Applications to Codeing and  Cryptanalysis, Little Flower College, Guruvayur, September 16-18, 2004.
  9. A. Gopalan and R. Anbuselvi, A Special Pythagorean Triangle, ActaCienciaIndica XXXI M, No. 1, p. 053, 2005.
  10. A. Gopalan and S. Devibala, On a Pythagorean Problem, ActaCiencia India XXXIIM, No. 4, p. 1451, 2006.
  11. L. Bhatia and SupriyaMohanty, Nasty Numbers and their Characterizations, Mathematical Education, p. 34-37, July – Sep. 1985.

Publication Details

Published in : Volume 2 | Issue 6 | November-December 2016
Date of Publication : 2016-12-30
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 96-100
Manuscript Number : IJSRSET162636
Publisher : Technoscience Academy

Print ISSN : 2395-1990, Online ISSN : 2394-4099

Cite This Article :

S. Sriram, E. Kavitha Rani, " A Different Approach on a Pythagorean Triangle Which Satisfies [ Oneleg of the Right Angle Triangle/2pd ] - 6 [Area/Perimeter] = K, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 2, Issue 6, pp.96-100, November-December-2016.
Journal URL : http://ijsrset.com/IJSRSET162636

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