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9
SMT 2019 Geometry #9
SMT 2019 Geometry #9
Source:
August 8, 2023
geometry
Problem Statement
Let
A
B
C
D
ABCD
A
BC
D
be a quadrilateral with
∠
A
B
C
=
∠
C
D
A
=
4
5
o
\angle ABC = \angle CDA = 45^o
∠
A
BC
=
∠
C
D
A
=
4
5
o
,
A
B
=
7
AB = 7
A
B
=
7
, and
B
D
=
25
BD = 25
B
D
=
25
. If
A
C
AC
A
C
is perpendicular to
C
D
CD
C
D
, compute the length of
B
C
BC
BC
.
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