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ITAMO
2019 ITAMO
1
Hexagon concurrency
Hexagon concurrency
Source: ITAMO 2019 #1
May 3, 2019
ITAMO 2019
geometry
Problem Statement
Let
A
B
C
D
E
F
ABCDEF
A
BC
D
EF
be a hexagon inscribed in a circle such that
A
B
=
B
C
,
AB=BC,
A
B
=
BC
,
C
D
=
D
E
CD=DE
C
D
=
D
E
and
E
F
=
A
F
.
EF=AF.
EF
=
A
F
.
Prove that segments
A
D
,
AD,
A
D
,
B
E
BE
BE
and
C
F
CF
CF
are concurrent
.
.
.
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