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9
SMT 2011 Geometry # 7
SMT 2011 Geometry # 7
Source:
September 2, 2022
geometry
Problem Statement
In a unit square
A
B
C
D
ABCD
A
BC
D
, find the minimum of
2
A
P
+
B
P
+
C
P
\sqrt2 AP + BP + CP
2
A
P
+
BP
+
CP
where
P
P
P
is a point inside
A
B
C
D
ABCD
A
BC
D
.
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