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5
2023 Fall LMT Team #5 regular hexagon
2023 Fall LMT Team #5 regular hexagon
Source:
February 4, 2024
geometry
Problem Statement
In regular hexagon
A
B
C
D
E
F
ABCDEF
A
BC
D
EF
with side length
2
2
2
, let
P
P
P
,
Q
Q
Q
,
R
R
R
, and
S
S
S
be the feet of the altitudes from
A
A
A
to
B
C
BC
BC
,
E
F
EF
EF
,
C
F
CF
CF
, and
B
E
BE
BE
, respectively. Find the area of quadrilateral
P
Q
R
S
PQRS
PQRS
.
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