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Home > CC3 > Chapter 10 > Lesson 10.1.2 > Problem 10-28

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.  Homework Help ✎

Use the Pythagorean Theorem.

  1. triangle, leg 1 = x, leg 2 = 5, hypotenuse = 13


    Substitute the values that are given.


    Solve by isolating .


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

  1. triangle, leg 1 = 6, leg 2 = 3, hypotenuse = x


    Substitute the values that are given.


    Now solve for .

  1. triangle, leg 1 =15, leg 2= x, hypotenuse = 17

    See part (a).