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21
2015 Guts #21
2015 Guts #21
Source:
July 28, 2022
2015
Guts Test
Problem Statement
Parallelogram
A
B
C
D
ABCD
A
BC
D
has
A
B
=
C
D
=
6
AB=CD=6
A
B
=
C
D
=
6
and
B
C
=
A
D
=
10
BC=AD=10
BC
=
A
D
=
10
, where
∠
A
B
C
\angle ABC
∠
A
BC
is obtuse. The circumcircle of
△
A
B
D
\triangle ABD
△
A
B
D
intersects
B
C
BC
BC
at
E
E
E
such that
C
E
=
4
CE=4
CE
=
4
. Compute
B
D
BD
B
D
.
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