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10-28.

Find the length of the side labeled in each of the right triangles pictured below. Identify each answer as a rational or irrational number.  

Use the Pythagorean Theorem.

  1. A right triangle labeled as follows: legs, 5, and x, hypotenuse, 13.


    Substitute the values that are given.


    Solve by isolating .


    Take the square root of each side to get the answer.

  1. A right triangle labeled as follows: legs, 6, and 3, hypotenuse, x.


    Substitute the values that are given.


    Now solve for .

  1. A right triangle labeled as follows: legs, 15, and x, hypotenuse, 7.

    See part (a).