Question

Apply the 45°-45°-90° Triangle Theorem to find the length of the hypotenuse of the triangle

If the length of each leg of the triangle is 15√2 in, what is the length of the hypotenuse(c)?

Answers

  1. The 45°-45°-90° Triangle Theorem states that in a 45-45-90 triangle, the ratio of the length of the hypotenuse to the length of each leg is always 1:1.

    So, if the length of each leg is 15√2 inches, the length of the hypotenuse would be 15√2 inches * 1 = 15√2 inches.

    Therefore, the length of the hypotenuse is c = 15√2 inches.

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  2. Answer:
    30
    Step-by-step explanation:
    The 45-45-90 Triangle Theorem states that in the isosceles 45-45-90 triangle, if we designate each leg as a, the base, or hypotenuse is a\sqrt{2} . Since we know the leg is 15\sqrt{2}, the hypotenuse would be:
    15\sqrt{2} * \sqrt{2} =\\15 * 2=\\30

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