Pythagorean theorem : a^2 + b^2 = c^2 using 3,4,5
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25 (correct)

using 8,15,17
8^2 + 15^2 = 17^2
64 + 225 = 289
289 = 289 (correct)

they are Pythagorean triplets because they satisfy the Pythagorean theorem

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