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9
SMT RMT 2014 Geometry #9
SMT RMT 2014 Geometry #9
Source:
October 28, 2022
geometry
Problem Statement
In cyclic quadrilateral
A
B
C
D
ABCD
A
BC
D
,
A
B
=
A
D
AB= AD
A
B
=
A
D
. If
A
C
=
6
AC = 6
A
C
=
6
and
A
B
B
D
=
3
5
\frac{AB}{BD} =\frac35
B
D
A
B
ā
=
5
3
ā
, find the maximum possible area of
A
B
C
D
ABCD
A
BC
D
.
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