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Akdeniz University MO
1998 Akdeniz University MO
5
geomeetry
geomeetry
Source:
January 31, 2016
geometry
quadrilateral
Problem Statement
Let
A
B
C
D
ABCD
A
BC
D
a convex quadrilateral with
[
B
C
]
[BC]
[
BC
]
and
[
C
D
]
[CD]
[
C
D
]
's midpoint is
P
P
P
and
N
N
N
respectively. If
[
A
P
]
+
[
A
N
]
=
d
[AP]+[AN]=d
[
A
P
]
+
[
A
N
]
=
d
Show that, area of the
A
B
C
D
ABCD
A
BC
D
is less then
1
2
d
2
\frac{1}{2}d^2
2
1
d
2
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