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Problems
Contests
International Contests
Baltic Way
1996 Baltic Way
3
3
Part of
1996 Baltic Way
Problems
(1)
Find all possible values of segment PQ
Source: Baltic Way 1996 Q3
3/19/2011
Let
A
B
C
D
ABCD
A
BC
D
be a unit square and let
P
P
P
and
Q
Q
Q
be points in the plane such that
Q
Q
Q
is the circumcentre of triangle
B
P
C
BPC
BPC
and
D
D
D
be the circumcentre of triangle
P
Q
A
PQA
PQ
A
. Find all possible values of the length of segment
P
Q
PQ
PQ
.
geometry proposed
geometry