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International Contests
Tournament Of Towns
1984 Tournament Of Towns
(075) T1
(075) T1
Part of
1984 Tournament Of Towns
Problems
(1)
TOT 075 1984 Autumn Train S1 equal areas in hexagon with a few //
Source:
8/24/2019
In convex hexagon
A
B
C
D
E
F
,
A
B
ABCDEF, AB
A
BC
D
EF
,
A
B
is parallel to
C
F
,
C
D
CF, CD
CF
,
C
D
is parallel to
B
E
BE
BE
and
E
F
EF
EF
is parallel to
A
D
AD
A
D
. Prove that the areas of triangles
A
C
E
ACE
A
CE
and
B
D
F
BDF
B
D
F
are equal .
hexagon
equal areas
areas
parallel
geometry