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Contests
National and Regional Contests
Netherlands Contests
Dutch Mathematical Olympiad
1990 Dutch Mathematical Olympiad
4
regular 7-gon
regular 7-gon
Source: Netherlands 1990
June 27, 2009
geometry proposed
geometry
Problem Statement
If
A
B
C
D
E
F
G
ABCDEFG
A
BC
D
EFG
is a regular
7
7
7
-gon with side
1
1
1
, show that: \frac{1}{AC}\plus{}\frac{1}{AD}\equal{}1.
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