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6
BMT 2022 Guts #6
BMT 2022 Guts #6
Source:
August 31, 2023
geometry
Problem Statement
Equilateral triangle
A
B
C
ABC
A
BC
has side length
20
20
20
. Let
P
Q
R
S
PQRS
PQRS
be a square such that
A
A
A
is the midpoint of
R
S
‾
\overline{RS}
RS
and
Q
Q
Q
is the midpoint of
B
C
‾
\overline{BC}
BC
. Compute the area of
P
Q
R
S
PQRS
PQRS
.
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