Identify, with reason, which of the following are Pythagorean triplets. (11.60.61)
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Answer:
12, 60, 61 is not a Pythagrean triplets
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A Pythagorean triple is usually defined as a triple of three counting numbers, x, y, and z, such that x^2 + y^2 = z^2. This triple satisfies that definition. Further, if two counting numbers, u and v, are chosen to produce the three expressions 2uv, v^2 -u^2, and v^2 + u^2, then the resulting triple is a Pythagorean triple.
612 = 3721 ∧ 602+112 = 3600 + 121 = 3721
∴11, 60, 61 is a Pythagorean triplet.
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