On the Pythagorean triangles with an irrational hypotenuse

Author(s):

Tofig Aliyev , Samir Pur Riza *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
The paper investigates a number of incomplete exact roots of a series of natural numbers, in relation to the Pythagorean theorem that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the legs. It uses the fact that the equation x^2+y^2=z^n,n=2,3,4,.. always has an solution (x,y,z) in integer numbers x,y,z∈Z={0,±1,±2,…}.
Keywords:

Incomplete square , Pythagorean theorem , Solution in integer numbers

Language:
English
Published:
Mathematics and Computational Sciences, Volume:3 Issue: 1, Winter 2022
Pages:
37 to 41
https://www.magiran.com/p2392982