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8-117.

What is the length of the side labeled in each diagram?

  1. Right triangle labeled as follows: horizontal leg, x, hypotenuse, 1 half, angle opposite horizontal leg, 60 degrees.

    This is a special right triangle.
    You can leave the answer in fraction form.

    Right triangle labeled as follows: angle opposite vertical leg, 30 degrees, angle opposite horizontal leg, 60 degrees, vertical leg, x, horizontal leg, x Times Square root of 3,  hypotenuse, 2, x.

    Right triangle labeled as follows: acute angles, each 45 degrees, vertical leg & horizontal leg, each x, hypotenuse, x Times Square root of 2.

  1. Right triangle labeled as follows: acute angles, each 45 degrees, vertical leg, square root of 2 divided by 2, hypotenuse, x.

    Use the same method from part (a).