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3
2011 Spring LMT Individual Round Problem 3
2011 Spring LMT Individual Round Problem 3
Source:
January 5, 2021
Problem Statement
Segment
P
Q
‾
\overline{PQ}
PQ
is drawn and squares
A
B
P
Q
ABPQ
A
BPQ
and
C
D
Q
P
CDQP
C
D
QP
are constructed in the plane such that they lie on opposite sides of segment
P
Q
‾
.
\overline{PQ}.
PQ
.
If
P
Q
=
1
,
PQ=1,
PQ
=
1
,
find
B
D
.
BD.
B
D
.
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