General Mathematics

    

Construction Of Pythagorean Triple

Authors: Binay Krishna Maity

A very common term in mathematics is a^2 + b^2 = c^2. This equation has been discussed since many years ago. This equation is called the Pythagorean Theorem. And for a, b and c as positive inintegers a, b and c are called Pythagorean triples. For example, 3, 4, 5 is a Pythagorean triple. Because, 3^2+ 4^2 = 5^2. Some more examples are (5,12,13), (9,12,15), and (12,16,20) etc. Any number has more than one Pythagorean triple. For example, with 12 numbers (5,12,13), (9,12,15), (12,16,20) and (12, 35, 37) these four Pythagorean triples are obtained. Now I am given a positive integer number and I have to show how many Pythagorean triples can be found with that number? There may have some solutions in the mathematics. This paper provides an alternative solution to evaluate these Pythagorean triplets for any given number.

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[v1] 2026-02-17 00:31:42

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