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Old Kyiv MO Geometry
Kyiv City MO 1984-93 - geometry
1991.8.3
1991.8.3
Part of
Kyiv City MO 1984-93 - geometry
Problems
(1)
# wanted, 4 equilaterals on sides of # 1991 Kyiv City MO 8.3
Source:
7/18/2021
On the sides of the parallelogram
A
B
C
D
ABCD
A
BC
D
outside it are constructed equilateral triangles
A
B
M
ABM
A
BM
,
B
C
N
BCN
BCN
,
C
D
P
CDP
C
D
P
,
A
D
Q
ADQ
A
D
Q
. Prove that
M
N
P
Q
MNPQ
MNPQ
is a parallelogram.
parallelogram
geometry
Equilateral