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BMT Problems
2013 BMT Spring
14
14
Part of
2013 BMT Spring
Problems
(1)
computational geo with incircle 2013 BMT Individual 14
Source:
1/2/2022
Triangle
A
B
C
ABC
A
BC
has incircle
O
O
O
that is tangent to
A
C
AC
A
C
at
D
D
D
. Let
M
M
M
be the midpoint of
A
C
AC
A
C
.
E
E
E
lies on
B
C
BC
BC
so that line
A
E
AE
A
E
is perpendicular to
B
O
BO
BO
extended. If
A
C
=
2013
AC = 2013
A
C
=
2013
,
A
B
=
2014
AB = 2014
A
B
=
2014
,
D
M
=
249
DM = 249
D
M
=
249
, find
C
E
CE
CE
.
geometry
incircle