The following questions review the main ideas of this chapter. Write your answers to the questions and then refer to the pages listed by number to make certain that you have mastered these ideas.
What is the relationship among the lengths of the sides of a right triangle? pgs. 75–77
Reference:
The general case of the Pythagorean theorem can also be verified using tiles. A right triangular region with sides of length a and b and hypotenuse of length c is shown in Figure 2.34(a).
In Figure 2.34(b), four triangles identical to the one in Figure 2.34(a) are arranged into a square “donut,” in which the hole in the center is a square with sides of length c. (Convince yourself that the angles of the hole are 90°.) Then, in Figure 2.35, a series of moves repositions the triangular tiles, leaving two squares—one whose sides have length a and one whose sides have length b.
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