New Extension for Pythagoras Theorem and Its Application

Rajasekhar. P

doi:https://doi.org/10.14445/22315373/IJMTT-V54P526

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 54 | Number 3 | Year 2018 | Article Id. IJMTT-V54P526 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P526

New Extension for Pythagoras Theorem and Its Application

Rajasekhar. P

Abstract

Present paper deals with a new extension to Pythagoras Theorem. Theorem has been derived from the fundamental relationship between hypotenuse and other two sides of a right triangle. Main use of the proposed new extension theorem is in finding Pythagorean triplets.

Keywords

Pythagoras Theorem, Extension Theorem, Pythagorean triads, Pythagorean triplets.

References

[1] Bernard.S & Child.J.M. Elements of Geometry. MacMillan and Co, London ,1948
[2] Todhunter.L. The Elements of EUCLID. , MacMillan and Co, London ,1889
[3] John Taylor MD , LILAWATI, A Treatise on Arithmetic and Geometry by Bhascara Acharya, Courier Books, Bombay, 1816..
[4] Sharma.K V. Tantrasangraha of Nilakanta Somayaji with Yukti Deepika and Laghuvivruthi , Panjab University ,1977.
[5] Sen SN & Bag AK.,The Sulbasutras of Boudhayana, Apasthamba, Katyana and Manava with English translation , Indian Science Academy , New Delhi 1983
[6] Sambavasastri, Aryabhateeya Bhashya of Nilakantasomayajin : Part I&II, TSS.101, Trivandrum

Citation :

Rajasekhar. P, "New Extension for Pythagoras Theorem and Its Application," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 3, pp. 236-239, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P526