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27 February, 01:23

Which set of numbers represents a Pythagorean triple?

A. 6, 9, 12

B. 7, 10, 12

C. 16, 18, 25

D. 27, 36, 45

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Answers (2)
  1. 27 February, 01:41
    0
    The answer to your question is D.
  2. 27 February, 03:45
    0
    We will plug in the numbers and see if it is a Pythagorean triple.

    The Pythagorean theorem: c² = a² + b²

    A) 12² = 6² + 9²

    144 = 36 + 81

    144 ≠ 117

    B) 12² = 10² + 7²

    144 = 100 + 49

    144 ≠ 149

    C) 25² = 18² + 16²

    625 = 324 + 256

    625 ≠ 580

    D) 45² = 36² + 27²

    2,025 = 1,296 + 729

    2,056 = 2,056 (correct)

    Answer: D) 27, 36, 45.
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