# 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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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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*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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