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6
2024 Team Problem 6
2024 Team Problem 6
Source:
April 23, 2024
team
Problem Statement
Cyclic quadrilateral
A
B
C
D
ABCD
A
BC
D
has circumradius
3
3
3
. Additionally,
A
C
=
3
2
AC = 3\sqrt{2}
A
C
=
3
2
,
A
B
/
C
D
=
2
/
3
AB/CD = 2/3
A
B
/
C
D
=
2/3
, and
A
D
=
B
D
AD = BD
A
D
=
B
D
. Find
C
D
CD
C
D
.Proposed by Justin Hsieh
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