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1997 AIME Problems
6
Regular n-gon
Regular n-gon
Source:
December 20, 2005
Problem Statement
Point
B
B
B
is in the exterior of the regular
n
n
n
-sided polygon
A
1
A
2
⋯
A
n
,
A_1A_2\cdots A_n,
A
1
A
2
⋯
A
n
,
and
A
1
A
2
B
A_1A_2B
A
1
A
2
B
is an equilateral triangle. What is the largest value of
n
n
n
for which
A
n
,
A
1
,
A_n, A_1,
A
n
,
A
1
,
and
B
B
B
are consecutive vertices of a regular polygon?
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