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3-76.

Solve for the indicated value. Leave your answer in exact form.  

  1.  _______

    Right triangle, A B C, sides labeled as follows: vertical leg, A B, 6, horizontal leg, B C, 5, hypotenuse, A C, x.

    Use the Pythagorean Theorem.

  1. _______

    Right triangle, A B C, sides labeled as follows: vertical leg, A B, 3, hypotenuse, A C, 6.

    Use the Pythagorean Theorem to find the missing side. Is the triangle a special one?

    This is a triangle. Therefore,  is .

  1. ____

    Right triangle, A B C, sides labeled as follows: vertical leg, A B, 5, horizontal leg, A C, 4.

    The inverse tangent function will be helpful here.

  1. _______

    Right triangle, A B C, sides labeled as follows: leg, B C, a, hypotenuse, A C, 10. Angle, c, labeled, 30 degrees.

    Use the cosine ratio or special right triangles.