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10
SMT 2010 Geometry #10
SMT 2010 Geometry #10
Source:
February 11, 2012
geometry
Problem Statement
A
,
B
,
C
,
D
A, B, C, D
A
,
B
,
C
,
D
are points along a circle, in that order.
A
C
AC
A
C
intersects
B
D
BD
B
D
at
X
X
X
. If
B
C
=
6
BC=6
BC
=
6
,
B
X
=
4
BX=4
BX
=
4
,
X
D
=
5
XD=5
X
D
=
5
, and
A
C
=
11
AC=11
A
C
=
11
, fi nd
A
B
AB
A
B
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