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Turkey Junior National Olympiad
2002 Turkey Junior National Olympiad
1
1
Part of
2002 Turkey Junior National Olympiad
Problems
(1)
Turkey Junior Olympiad 2002, Part II - P1
Source:
1/18/2013
Let
A
B
C
D
ABCD
A
BC
D
be a trapezoid such that
∣
A
C
∣
=
8
|AC|=8
∣
A
C
∣
=
8
,
∣
B
D
∣
=
6
|BD|=6
∣
B
D
∣
=
6
, and
A
D
∥
B
C
AD \parallel BC
A
D
∥
BC
. Let
P
P
P
and
S
S
S
be the midpoints of
[
A
D
]
[AD]
[
A
D
]
and
[
B
C
]
[BC]
[
BC
]
, respectively. If
∣
P
S
∣
=
5
|PS|=5
∣
PS
∣
=
5
, find the area of the trapezoid
A
B
C
D
ABCD
A
BC
D
.
geometry
trapezoid
parallelogram