Some Special Analysation on a Pythagorean Triangle which Satisfies $\alpha\left((Hypotonuse\times Perimeter)-4\left(Area\right)\right)=$ $\lambda^{2}\left(Perimeter\right)$ for Some Particular Different Values of $\alpha$


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Authors

  • S. Sriram Department of Mathematics, National College (Affiliated to Bharathidasan University), Tiruchirappalli, Tamilnadu, India
  • P. Veeramallan P.G Assistant in Mathematics, GHSS, Yethapur, Salem, Tamilnadu, India

Keywords:

Integral Solutions, Pythagorean Triangles

Abstract

We obtain non-trivial integer solutions for the sides of the Pythagorean triangle, for some particular values of $\alpha$ which satisfies $\left(\alpha ((Hypotonuse\times Perimeter)-4\left(Area\right))\right)=\lambda^{2}\left(Perimeter\right)$. A few interesting relations between the sides of the Pythagorean triangle are presented.

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Published

15-12-2021

How to Cite

S. Sriram, & P. Veeramallan. (2021). Some Special Analysation on a Pythagorean Triangle which Satisfies $\alpha\left((Hypotonuse\times Perimeter)-4\left(Area\right)\right)=$ $\lambda^{2}\left(Perimeter\right)$ for Some Particular Different Values of $\alpha$. International Journal of Mathematics And Its Applications, 9(4), 127–149. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/37

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Section

Research Article