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2013 BMT Spring
6
BMT 2013 Spring - Geometry 6
BMT 2013 Spring - Geometry 6
Source:
December 29, 2021
geometry
Problem Statement
Let
A
B
C
D
ABCD
A
BC
D
be a cyclic quadrilateral where
A
B
=
4
AB = 4
A
B
=
4
,
B
C
=
11
BC = 11
BC
=
11
,
C
D
=
8
CD = 8
C
D
=
8
, and
D
A
=
5
DA = 5
D
A
=
5
. If
B
C
BC
BC
and
D
A
DA
D
A
intersect at
X
X
X
, find the area of
△
X
A
B
\vartriangle XAB
△
X
A
B
.
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