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2015 BMT Spring
Tie 2
BMT 2015 Geometry Tiebreaker #2
BMT 2015 Geometry Tiebreaker #2
Source:
August 12, 2023
geometry
Problem Statement
The unit square
A
B
C
D
ABCD
A
BC
D
has
E
E
E
as midpoint of
A
D
AD
A
D
and a circle of radius
r
r
r
tangent to
A
B
AB
A
B
,
B
C
BC
BC
, and
C
E
CE
CE
. Determine
r
r
r
.
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