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Pythagorean Triple

Concept

Pythagorean Triple

A Pythagorean triple is a set of three natural numbers that satisfies the Pythagorean Theorem. The lowest numbers that together form a Pythagorean triple are 3,3, 4,4, and 5.5. a2+b2=c232+42=559+16=25\begin{aligned} a^2+b^2&=c^2 \\ 3^2+4^2&=5^5 \\ 9+16&=25 \end{aligned} There are an infinite number of Pythagorean triples. Other examples are (5,12,13),(5,12,13), (8,15,17),(8,15,17), and (7,24,25).(7,24,25).