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2013 BMT Spring
19
19
Part of
2013 BMT Spring
Problems
(1)
2013 BMT Individual 19
Source:
1/18/2022
Equilateral triangle
A
B
C
ABC
A
BC
is inscribed in a circle. Chord
A
D
AD
A
D
meets
B
C
BC
BC
at
E
E
E
. If
D
E
=
2013
DE = 2013
D
E
=
2013
, how many scenarios exist such that both
D
B
DB
D
B
and
D
C
DC
D
C
are integers (two scenarios are different if
A
B
AB
A
B
is different or
A
D
AD
A
D
is different)?
geometry