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10
2019 Geometry # 10
2019 Geometry # 10
Source:
September 10, 2023
geometry
2019
Problem Statement
Regular hexagon
A
B
C
D
E
F
ABCDEF
A
BC
D
EF
has side length
1
1
1
. Given that
P
P
P
is a point inside
A
B
C
D
E
F
ABCDEF
A
BC
D
EF
, compute the minimum of
A
P
3
+
C
P
+
D
P
+
E
P
3
AP \sqrt3 + CP + DP + EP\sqrt3
A
P
3
+
CP
+
D
P
+
EP
3
.
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