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Problems
Contests
National and Regional Contests
Argentina Contests
Argentina National Olympiad
2004 Argentina National Olympiad
5
5
Part of
2004 Argentina National Olympiad
Problems
(1)
area of pentagon ABCDE, AB=BC, CD=DE, <ABC=120^o, <CDE=60^o, BD=2
Source: 2004 Argentina OMA L3 p5
6/16/2020
The pentagon
A
B
C
D
E
ABCDE
A
BC
D
E
has
A
B
=
B
C
,
C
D
=
D
E
,
∠
A
B
C
=
12
0
o
,
∠
C
D
E
=
6
0
o
AB = BC, CD = DE, \angle ABC = 120^o, \angle CDE = 60^o
A
B
=
BC
,
C
D
=
D
E
,
∠
A
BC
=
12
0
o
,
∠
C
D
E
=
6
0
o
and
B
D
=
2
BD = 2
B
D
=
2
. Calculate the area of the pentagon.
geometry
area
pentagon
equal segments