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5 December, 18:52

Which of the following is not a pythagorean triple? A. 15, 36, 39 B. 24, 45, 51 C. 21, 72, 76 D. 18, 24, 30

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  1. 5 December, 19:08
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    Pythagorean triple: a² + b² = c²

    A) 15² + 36² = 39² ⇒ 225 + 1296 = 1521 ⇒ 1521 = 1521

    B) 24² + 45² = 51² ⇒ 576 + 2025 = 2601 ⇒ 2601 = 2601

    C) 21² + 72² = 76² ⇒ 441 + 5184 = 5776 ⇒ 5625 ≠ 5776

    D) 18² + 24² = 30² ⇒ 324 + 576 = 900 ⇒ 900 = 900

    C) 21, 72, 76 is not a pythagorean triple.
  2. 5 December, 19:13
    0
    The answer is C. 21, 72, 76

    The Pythagorean theorem states that the square of the hypotenuse (c) is equal to the sum of the squares of two other sides (a, b):

    a² + b² = c²

    So, let's start with checking out the choices:

    A. 15, 36, 39

    a = 15

    b = 36

    c = 39

    a² + b² = c²

    15 ² + 36² = 39²

    225 + 1296 = 1521

    1521 = 1521

    B. 24, 45, 51

    a = 24

    b = 45

    c = 51

    a² + b² = c²

    24² + 45² = 51²

    576 + 2025 = 2601

    2601 = 2601

    C. 21, 72, 76

    a = 21

    b = 72

    c = 76

    a² + b² = c²

    21² + 72² = 76²

    441 + 5184 = 5776

    5625 ≠ 5776
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