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6-6.

For each triangle below, use right triangle patterns to determine the missing side lengths. Then calculate the area and perimeter of each triangle.

  1. Right triangle, horizontal leg labeled,  square root of 2 meters, angle opposite horizontal leg labeled, 45 degrees.

    Use a  relationship to determine missing sides. Then calculate the area and perimeter of the triangle.

    Added to right triangle, vertical leg labeled, square root of 2, hypotenuse labeled, square root of 2 times square root of 2 = 2.

  1. Right triangle, hypotenuse labeled, 10', angle opposite horizontal leg, 60 degrees.

    Use a  relationship to determine the missing sides. Then calculate the area and perimeter of the triangle.

    Added to right triangle, horizontal leg, 5 square root of 3, vertical leg, 5.