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26 July, 15:01

WHich of the following sets of integers is a Pythagorean triple?

15,9,17

5,12,13

6,8,12

3,5,6

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Answers (1)
  1. 26 July, 15:14
    0
    Pythagorean theorem states that:

    c^2=a^2+b^2

    where:

    c=hypotenuse

    a and b are the legs

    this implies that, a and b are shorter than c; thus to find the Pythagorean theorem we look for values that satisfy the above equation, where c is the longest side.

    17^2=15^2+9^2

    thus (17,15,9) are Pythagorean triple.

    13^2=5^2+12^2

    Thus (5,12,13) are Pythagorean triple

    12^2≠6^2+8^2

    Thus they are not Pythagorean triple

    6^2=5^2+3^2

    Thus (3,5,6) are not Pythagorean theorem.
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