Geometry: An Interactive Journey to Mastery



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3. $79VFUHHQLVDUHFWDQJOHZLWKVLGHVWKDWFRPHLQDUDWLR,IWKHGLDJRQDORIWKHVFUHHQLVLQFKHV
   ORQJZKDWDUHWKHOHQJWKDQGWKHZLGWKRIWKHVFUHHQ"


4. &RQVLGHUWKHSLFWXUHLQFigure 5.8.
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   a > 3.
   E௘ͽ 8VHWKH3\WKDJRUHDQWKHRUHPWRH[SODLQZK\ZHPXVWKDYH
   b!
   F௘ͽ 8VHWKH3\WKDJRUHDQWKHRUHPWRH[SODLQZK\ZHPXVWKDYH
   b > a.


5. :KDWLVWKHOHQJWKRIWKHGLDJRQDOIURPWKHWRSIURQWULJKWFRUQHUP
   RIDFXEHZLWKVLGHOHQJWKWRWKHEDFNERWWRPOHIWFRUQHUQ"
   ͼ௘6HHFigure 5.9௘ͽ


6. )LQGWKHYDOXHRIhͼ௘6HHFigure 5.10௘ͽ
   +LQW6HWAP = x and PC íx:ULWHWZRHTXDWLRQVDQGXVHWKHP
   to solve for x and then for h.

a b

(^32) Figure 5.8

Q

P

Figure 5.9

h

APC

B

17

21

10

Figure 5.10