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Problems
Contests
International Contests
IMO Longlists
1977 IMO Longlists
47
47
Part of
1977 IMO Longlists
Problems
(1)
Area of AMNQ is maximal [ILL 1977]
Source:
1/11/2011
A square
A
B
C
D
ABCD
A
BC
D
is given. A line passing through
A
A
A
intersects
C
D
CD
C
D
at
Q
Q
Q
. Draw a line parallel to
A
Q
AQ
A
Q
that intersects the boundary of the square at points
M
M
M
and
N
N
N
such that the area of the quadrilateral
A
M
N
Q
AMNQ
A
MNQ
is maximal.
geometry
geometry unsolved