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31 August, 03:24

A triangle has sides with length of 5 yards, 14 yards, and 16 yards. is it a right triangle

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Answers (2)
  1. 31 August, 03:47
    0
    As the largest side is

    15

    yards and smaller sides are

    9

    yards and

    12

    yards

    from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.

    Square of largest side is

    15

    2

    =

    225

    and squares of smaller two sides are

    9

    2

    =

    81

    and

    12

    2

    =

    144

    .

    As

    225

    =

    81

    +

    144

    , the triangle is right angled.
  2. 31 August, 04:19
    0
    Answer: No, this is not a right triangle

    Pythagorean theorem a² + b² = c² would apply if so, but No, it does not.

    Step-by-step explanation:

    5² = 25 14² = 196 16² = 256

    25 + 196 = 221 221 ≠ 256

    So the given side lengths do not make a right triangle.
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