Geometry: An Interactive Journey to Mastery

Solutions

2. 6HHFigure S.18.1
   D௘ͽ WDQ xx | VR WDQ^1 §· ̈ ̧©¹ ƒ
    $QGVLQ xd ||d  VR VLQ x VLQ ƒ 
   E௘ͽ d |  ^22
   F௘ͽ 7KHUHZHUHURXQGLQJHUURUV:LWKLQWKRVHUDQJHRIHUURUVWKHVHDQVZHUVPDWFK


3. D௘ͽ AB    ^22 
   E௘ͽ mCAB‘ WDQ^1 §· ̈ ̧©¹ 137 |ƒ


4. /HWxEHWKHDQJOHEHWZHHQWKHWZRVLGHVRIOHQJWKͼ௘7KLVLVWKHODUJHVW௘ͽ:HKDYH
       FRV ^222  ˜˜˜ x 
   JLYLQJFRV xx ^2872  7KXV FRV ^1 §·©¹ ̈ ̧ | 7228 ƒ


5. /HWxEHWKHDQJOHRSSRVLWHWKHVLGHRIOHQJWKͼ௘7KLVLVWKHVPDOOHVWDQJOH௘ͽ

7KHQVLQ x (^) ^3 JLYLQJx |VLQ^1 §·©¹ ̈ ̧^3 ƒ
6. 1RZWDQ  x (^) FRV  FRVVLQ ^ xxxxxxVLQ FRV (^22) VLQ 'LYLGHWKHQXPHUDWRUDQGGHQRPLQDWRUHDFKE\FRV^2 x 
WRREWDLQ

2
22 2
2

VLQ FRV

WDQ  FRV WDQ 

FRV VLQ  WDQ

FRV

xx

x xx

xx x

x

(^) 



5HFDOO “FRV^2 x ́LVVKRUWKDQGIRU FRV x^2 DQG³WDQ^2 x ́LVVKRUWKDQGIRU WDQ x^2 

31.7

d 21.2

x

Figure S.18.1