Geometry: An Interactive Journey to Mastery

Solutions

7. L /DEHODQJOHVxyzwDVVKRZQLQFigure S.10.8
   LL ++ABM~ CBMEHFDXVH666ͼ௘AB BCAM MCDQGVKDUHBM௘ͽ
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   LY MBELVHFWV‘BEHFDXVHx y
   Y z wEHFDXVHWKH\DUHPDWFKLQJDQJOHVLQaWULDQJOHV
   YLzw ƒEHFDXVHWKH\DUHRQDVWUDLJKWOLQH
   YLLz ƒDQGw ƒEHFDXVHWKHSUHYLRXVWZRVWHSV
   YLLLBMAACEHFDXVH y ƒ


8. L /DEHODQJOHVxDQGyDQGOHQJWKVaDQGbDVVKRZQLQ
   Figure S.10.9
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   3\WKDJRUHDQWKHRUHP
   LLLa bEHFDXVHAB BC
   LY (YHU\WKLQJQRZIROORZVDVLIZHDUHLQWKHVLWXDWLRQRIWKH
   SUHYLRXVSUREOHP


9. 6HHFigure S.10.10
   L AB AM^22 BM DQGBC MC^22 BM E\WKH
   3\WKDJRUHDQWKHRUHP
   LL AB BCEHFDXVHAM MC
   LLL (YHU\WKLQJQRZIROORZVDVLIZHDUHLQWKHVLWXDWLRQRIWKH
   SUHYLRXVSUREOHP

B

AM C

x

zw

y

Figure S.10.8

B

AM C

xy

ab

Figure S.10.9

B

AM C

Figure S.10.10