Primative pythagorean triples

By: Esos, Cherie Camille M
Publisher: Cebu City ; CIT-U ; 2016DDC classification: T Es59 2016 Summary: If a, b, and c are positive integers such that a²+b²=c², then (a,b,c) is called a Pythagorean triple. Further, if gcd(a,b,c)= 1, then (a,b,c) is called primitive Pythagorean triple (PPT). In this investigatory project, we will look into the two most common ways to generate a PPT. Analyzing how the existing formulas work will be significant. We will try to verify and understand well some existing well known properties of PPT. Lastly, we will look into the third way of generating a PPT and that is to establish how a root PPT can yeild to different one. Keywords; Primitive Pythagorean Triple, GCD, Relatively prime.
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If a, b, and c are positive integers such that a²+b²=c², then (a,b,c) is called a Pythagorean triple. Further, if gcd(a,b,c)= 1, then (a,b,c) is called primitive Pythagorean triple (PPT).

In this investigatory project, we will look into the two most common ways to generate a PPT. Analyzing how the existing formulas work will be significant. We will try to verify and understand well some existing well known properties of PPT. Lastly, we will look into the third way of generating a PPT and that is to establish how a root PPT can yeild to different one.

Keywords; Primitive Pythagorean Triple, GCD, Relatively prime.

000-099

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