Define pythagorean triplet with example..
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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 integer solutions to the Pythagorean Theorem, a² + b² = c² are called Pythagorean Triples which contains three positive integers a, b, and c.
↳Example: (3,4,5)
↳By evaluating we get:
↳32 + 42 = 52
↳32 + 42 = 529+16 = 25
↳Hence , 3,4 and 5 are the Pythagorean triples.
↳You can say “triplets,” but “triples” are the favoured term. Let’s start this topic by an introduction of Pythagoras theorem.
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