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Problems
Contests
International Contests
Baltic Way
1990 Baltic Way
10
10
Part of
1990 Baltic Way
Problems
(1)
How far can you move this segment?
Source:
4/19/2013
A segment
A
B
AB
A
B
is marked on a line
t
t
t
. The segment is moved on the plane so that it remains parallel to
t
t
t
and that the traces of points
A
A
A
and
B
B
B
do not intersect. The segment finally returns onto
t
t
t
. How far can point
A
A
A
now be from its initial position?