Consider a square inch as shown in Figure 5.10.

a. Find the total length of the segments making up the stairs in each part of Figure 5.10.

b. Find the length of the diagonal of each square.

c. It seems that if we continue the progression started with the three parts of Figure 5.10, at some point the stairs will become indistinguishable from the diagonal. This seems to say that your answers for parts a and b should be the same (if there are enough stairs). Discuss.

Figure 5.10

Transcribed Image Text:

1 in. a. Two stairs |1 in. 1 in. b. Four stairs 1 in. 1 in. c. Eight stairs 1 in.