Geometry: An Interactive Journey to Mastery



Solutions

3. D௘ͽ x ƒͼ௘8VHDOWHUQDWHLQWHULRUDQJOHVDQGWKHQYHUWLFDODQJOHV௘ͽ
   E௘ͽ x ƒͼ௘E\DOWHUQDWHLQWHULRUDQJOHVDQGYHUWLFDODQJOHV௘ͽJLYLQJx ƒ
   F௘ͽ x + 6x ƒVRx ƒ
   G௘ͽ 8VHYHUWLFDODQJOHVDQGƒLQDWULDQJOHWRVHHWKDW
   xƒƒ ƒ7KLVJLYHVx ƒ


4. D௘ͽ /DEHOFRQJUXHQWDOWHUQDWHLQWHULRUDQJOHVWRVHHWKDW
   w ƒƒ ƒ௘6HHFigure S.7.3௘
   E௘ͽ /DEHOVXSSOHPHQWDU\VDPHVLGHLQWHULRUDQJOHVWRVHH
   that w ƒƒ ƒ௘6HHFigure S.7.4௘


5. D௘ͽ x ƒy ƒͼ௘/RRNDWWKHYHUWLFDODQJOHWRy, if you
   H[WHQGOLQHV௘ͽ
   E௘ͽ x ƒyí x, giving y ƒͼ௘/RRNDWWKHYHUWLFDODQJOHWRx௘ͽ
   F௘ͽ x ƒxͼ௘íy௘ͽ JLYHVy ƒ
   G௘ͽ y ƒEHFDXVHWKHUHDUHƒLQDWULDQJOHVRy ƒ
   x + y ƒEHFDXVHWKHUHDUHƒLQDWULDQJOHVRx ƒ


6. 6HHFigure S.7.5.
      
    
   ƒ

x

x

x



10° 10

23°

w 23

Figure S.7.3

92°

123°^57 w 88

Figure S.7.4

140 160

x

x

P

Q

R

S

T

2 x

Figure S.7.5