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2014 ASDAN Math Tournament
1
2014 Geometry Tiebreaker #1
2014 Geometry Tiebreaker #1
Source:
July 1, 2022
2014
Geometry Tiebreaker
Problem Statement
Points
A
A
A
,
B
B
B
,
C
C
C
, and
D
D
D
lie in the plane with
A
B
=
A
D
=
7
AB=AD=7
A
B
=
A
D
=
7
,
C
B
=
C
D
=
4
CB=CD=4
CB
=
C
D
=
4
, and
B
D
=
6
BD=6
B
D
=
6
. Compute the sum of all possible values of
A
C
AC
A
C
.
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