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Baltic Way
1995 Baltic Way
16
16
Part of
1995 Baltic Way
Problems
(1)
Determine CE if AC=7 and CB=4
Source: Baltic Way 1995
10/8/2011
In the triangle
A
B
C
ABC
A
BC
, let
ℓ
\ell
ℓ
be the bisector of the external angle at
C
C
C
. The line through the midpoint
O
O
O
of
A
B
AB
A
B
parallel to
ℓ
\ell
ℓ
meets
A
C
AC
A
C
at
E
E
E
. Determine
∣
C
E
∣
|CE|
∣
CE
∣
, if
∣
A
C
∣
=
7
|AC|=7
∣
A
C
∣
=
7
and
∣
C
B
∣
=
4
|CB|=4
∣
CB
∣
=
4
.
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geometry