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1992 IMO Longlists
1
1
Part of
1992 IMO Longlists
Problems
(1)
Prove that AC + CF = AB + BF
Source:
9/1/2010
Points
D
D
D
and
E
E
E
are chosen on the sides
A
B
AB
A
B
and
A
C
AC
A
C
of the triangle
A
B
C
ABC
A
BC
in such a way that if
F
F
F
is the intersection point of
B
E
BE
BE
and
C
D
CD
C
D
, then
A
E
+
E
F
=
A
D
+
D
F
AE + EF = AD + DF
A
E
+
EF
=
A
D
+
D
F
. Prove that
A
C
+
C
F
=
A
B
+
B
F
.
AC + CF = AB + BF.
A
C
+
CF
=
A
B
+
BF
.
geometry
Triangle
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