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Old Kyiv MO Geometry
Kyiv City MO 1984-93 - geometry
1986.10.5
1986.10.5
Part of
Kyiv City MO 1984-93 - geometry
Problems
(1)
max area of MKCE inscribed in square ABCD 1986 Kyiv City MO 10.5
Source:
7/16/2021
Let
E
E
E
be a point on the side
A
D
AD
A
D
of the square
A
B
C
D
ABCD
A
BC
D
. Find such points
M
M
M
and
K
K
K
on the sides
A
B
AB
A
B
and
B
C
BC
BC
respectively, such that the segments
M
K
MK
M
K
and
E
C
EC
EC
are parallel, and the quadrilateral
M
K
C
E
MKCE
M
K
CE
has the largest area.
geometry
max
geometric inequality
areas