Geometry: An Interactive Journey to Mastery



Lesson 5: The Pythagorean Theorem

Study Tip

x 'RQ¶W¿[DWHRQWKHIRUPXODa^2 b^2 = c^2 ZLWKWKHVSHFL¿FOHWWHUVabDQGc5HPHPEHUWKDWWKH

3\WKDJRUHDQWKHRUHPLVDVWDWHPHQWDERXWWKHDUHDVRIWKHVTXDUHV$QGZLWKWKHSLFWXUHLQPLQGKRZ

WKHVLGHVRIWKRVHVTXDUHVDUHQDPHGEHFRPHVLPPDWHULDO

Pitfalls

x 0DQ\VWXGHQWVDUHWHPSWHGWREHOLHYHWKDW ab HTXDOV ab .%XWWKLVLVXVXDOO\QHYHUWKHFDVH

)RUH[DPSOH  ͼ௘ZKLFKHTXDOV௘ͽGRHVQRWHTXDO ͼ௘ZKLFKHTXDOV௘ͽ

x :KHQDTXDQWLW\VXFKDVxLVVTXDUHGWKHUHVXOWLVx^2 :DWFKRXWIRUWKLVLIxKDSSHQVWREHWKHVLGH

OHQJWKRIDULJKWWULDQJOHLQDQDSSOLFDWLRQRIWKH3\WKDJRUHDQWKHRUHP

1. )LQGWKHPLVVLQJVLGHOHQJWKVLQWKHIROORZLQJULJKWWULDQJOHV

120

119

9 18

13

61

2.1

5

42 58

5

5

8

6

7

3

17

(^133)
4
(^12)
Figure 5.7
Problems