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Hungary Contests
Kürschák Math Competition
1958 Kurschak Competition
3
3
Part of
1958 Kurschak Competition
Problems
(1)
(ACE)=(BDF) if ABCDEF is convex with oppoite sides //
Source: 1958 Hungary - Kürschák Competition p3
10/10/2022
The hexagon
A
B
C
D
E
F
ABCDEF
A
BC
D
EF
is convex and opposite sides are parallel. Show that the triangles
A
C
E
ACE
A
CE
and
B
D
F
BDF
B
D
F
have equal area
geometry
hexagon
equal areas