Geometry: An Interactive Journey to Mastery



Lesson 5: The Pythagorean Theorem

7. D௘ͽ 'UDZDWULDQJOHZLWKVLGHVLQFKHVLQFKHVDQGLQFKHV
   E௘ͽ 'UDZDWULDQJOHZLWKVLGHVLQFKHVLQFKHVDQGLQFKHV
   F௘ͽ ,VLWSRVVLEOHWRGUDZDWULDQJOHZLWKRQHVLGHWLPHVORQJHUWKDQDQRWKHU"


8. 7KHSHULPHWHURIDWULDQJOHLVWKHVXPRILWVWKUHHVLGHOHQJWKV,VWKHIROORZLQJVWDWHPHQWWUXHRUIDOVH"
   ,WLVSRVVLEOHWRGUDZDWULDQJOHZLWKRQHVLGHORQJHUWKDQKDOIWKHSHULPHWHURIWKHWULDQJOH


9. 6XSSRVHWKDWWKUHHSRLQWVABDQGCVDWLVI\ABBC = AC([SODLQZK\WKHWKUHHSRLQWVPXVW
   EHFROOLQHDU

10.$UHFWDQJXODUER[KDVOHQJWKaLQFKHVZLGWKb

LQFKHVDQGKHLJKWc inches.

6KRZWKDWWKHOHQJWKRIWKHORQJHVWGLDJRQDO

LQWKHER[PQLVJLYHQE\PQ abc ^222.

ͼ௘6HHFigure 5.11௘ͽ

c

a

P b

Q

Figure 5.11