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Purple Comet Problems
2003 Purple Comet Problems
8
Problem 8, Fall 2003 , MS and HS
Problem 8, Fall 2003 , MS and HS
Source:
June 23, 2011
trigonometry
Problem Statement
Let
A
B
C
D
E
F
G
H
I
J
K
L
ABCDEFGHIJKL
A
BC
D
EFG
H
I
J
K
L
be a regular dodecagon. Find
A
B
A
F
+
A
F
A
B
\frac{AB}{AF} + \frac{AF}{AB}
A
F
A
B
+
A
B
A
F
.
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