define Pythagorean triplet...
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A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime.
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The number which is hypotenuse it's square should be equal to the sum of the squares of other two sides.
a² + b² = c²
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