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India Pre-Regional Mathematical Olympiad
2012 India PRMO
8
2012 preRMO p8, triangle area
2012 preRMO p8, triangle area
Source:
June 16, 2019
geometry
Problem Statement
In rectangle
A
B
C
D
,
A
B
=
5
ABCD, AB= 5
A
BC
D
,
A
B
=
5
and
B
C
=
3
BC = 3
BC
=
3
. Points
F
F
F
and
G
G
G
are on line segment
C
D
CD
C
D
so that
D
F
=
1
DF = 1
D
F
=
1
and
G
C
=
2
GC = 2
GC
=
2
. Lines
A
F
AF
A
F
and
B
G
BG
BG
intersect at
E
E
E
. What is the area of
△
A
E
B
\vartriangle AEB
△
A
EB
?
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