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25 July, 11:12

Which of the following sets of numbers could represent the three sides of a right

triangle?

{44, 60, 75}

{30, 73, 78}

{37, 77,85}

{39, 52, 65}

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Answers (1)
  1. 25 July, 13:30
    0
    "{39, 52, 65}"

    Step-by-step explanation:

    Whenever there is a right-triangle, we can use the Pythagorean Theorem to find this answer

    Pythagorean Theorem tell us that:

    Leg^2 + Another Leg^2 = Hypotenuse^2

    Note: Hypotenuse is the longest side

    So, for each set, we can check if the Pythagorean Theorem holds.

    {44, 60, 75}

    75^2 = 5625

    and

    44^2 + 60^2 = 5536

    This is not correct.

    {30, 73, 78}

    78^2 = 6084

    30^2 + 73^2 = 6229

    This is not correct as well.

    {37, 77,85}

    85^2 = 7225

    37^2 + 77^2 = 7298

    This isn't correct.

    {39, 52, 65}

    65^2 = 4225

    and

    39^2 + 52^2 = 4225

    Here, pythagorean theorem holds, so this is the correct set.
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