Geometry: An Interactive Journey to Mastery



Solutions

3. A

C

B^8

8

8

Figure S.36.3

4. 1R7KHDUHDRIDQ\VXFKWULDQJOHZRXOGEH^ 60 60 60 180 u total surface area = 0. The angles of any
   VSKHULFDOWULDQJOHVXPWRPRUHWKDQƒ


5. Let R NPEHWKHUDGLXVRIWKH(DUWKDQGr the radius
   RIWKHFLUFOHRIFLUFXPIHUHQFHPLOHZHVHHN/DEHOWKHVH
   lengths as shown in Figure S.36.4ͼ௘1RWLFHWKHFRQJUXHQW
   DOWHUQDWHLQWHULRUDQJOHV௘ͽ
   :HQHHGʌU PLOH NPVRr |1.609 2 S 0.256 km.
   We see that
   FRV xx |rR 0.256 6400  VR FRV|^1 §· ̈ ̧©¹0.256 6400 |ƒ
   7KLVFLUFOHMXVWVFRRWVULJKWQHDUWKHSROH

x°

R

R

r x°

Figure S.36.4