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Junior Balkan MO
1998 Junior Balkan MO
2
JBMO geometry problem
JBMO geometry problem
Source: JBMO 1998, Problem 2
December 25, 2004
geometry
geometry unsolved
Problem Statement
Let
A
B
C
D
E
ABCDE
A
BC
D
E
be a convex pentagon such that
A
B
=
A
E
=
C
D
=
1
AB=AE=CD=1
A
B
=
A
E
=
C
D
=
1
,
∠
A
B
C
=
∠
D
E
A
=
9
0
∘
\angle ABC=\angle DEA=90^\circ
∠
A
BC
=
∠
D
E
A
=
9
0
∘
and
B
C
+
D
E
=
1
BC+DE=1
BC
+
D
E
=
1
. Compute the area of the pentagon. Greece
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