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12 February, 17:25

A triangle with sides of length 3 cm, 3 cm, and 7 cm is a right triangle. True or false?

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Answers (2)
  1. 12 February, 17:57
    0
    In a right triangle, the hypotenuse is always longer than the legs.

    If this is a right triangle, then the legs measure 3 cm each and the hypotenuse measures 7 cm.

    Now we use the Pythagoras theorem.

    The sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.

    The legs are a and b.

    The hypotenuse is c.

    a^2 + b^2 = c^2

    3^2 + 3^2 = 7^2

    9 + 9 = 49

    18 = 49

    18 = 49 is false. Since the side lengths make the Pythagorean equation false, the triangle is not a right triangle.

    Answer: False
  2. 12 February, 20:56
    0
    False a^2+b^2 doesn't = c^2
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