A Different Approach on a Pythagorean Triangle which Satisfies p(Hypotonuse)-4p (Area/Perimeter)=β2

Authors

  • S. Sriram  P. G. & Research Department of Mathematics, National College, Tiruchirappalli, Tamilnadu, India
  • P. Veeramallan  P. G. Assistant in Mathematics, GHSS, Perumangalam, Villupuram, Tamilnadu, India

Keywords:

Integral Solutions, Pythagorean Triangles.

Abstract

we obtain non-trivial values for the sides of the Pythagorean triangle such that p(Hypotonuse)-4p (Area/Perimeter)=β2. A few interesting relations between the sides of the Pythagorean triangle are presented.

References

  1. Dicdsen, L.E., History of theory of number, Vol.II, Chelsea Publishing Company, New York (1952).
  2. Smith, D.E., History of Mathematics, Vol.I and II, Dover Publications, Newyork (1953).
  3. Sierpinski, Pythagorean triangles, Dover publications, INC, New York, 2003.
  4. A.Gopalan V.Sangeetha and Manjusomanath, “Pythagorean triangle and Polygonal number”, Cayley J.Math., 2013, Vol 2(2), 151-156.
  5. A.Gopalan and B.Sivakami, “Pythagorean triangle with hypotenuse minus (area/perimeter) as a square integer”, Archimedes J.Math., 2012, Vol 2(2), 153-156.
  6. A. Gopalan , Vidhyalakshmi, E. Premalatha and R. Presenna, “Special Pythagorean triangle and Kepricker numb-digit dhuruva numbers”, IRJMEIT, Aug, 2014, Vol 1(4), 29-33.
  7. Shanmuganandham, “ A different approach on a Pythagorean Triangle which satisfies a(Hypotonuse-4a(area/perimeter) as a square integer”, IJIET, Aug. 2016, Vol 6(2), 18-19.
  8. Thirunavukkarasu and S. Sriram, “Pythagorean Triangle with Area / Perimeter as quartic integer”, International Journal of Engineering and Innovative Technology (IJEIT),vol.3(7),2014, pp.100-102.

International Journal of Scientific Research in Science, Engineering and Technology

Downloads

Published

2016-12-30

Issue

Volume 2, Issue 6, November-December-2016

Section

Research Articles

License

Copyright (c) IJSRSET

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
S. Sriram, P. Veeramallan, " A Different Approach on a Pythagorean Triangle which Satisfies p(Hypotonuse)-4p (Area/Perimeter)=β2, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 2, Issue 6, pp.101-103, November-December-2016.