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National and Regional Contests
Russia Contests
All-Russian Olympiad
1992 All Soviet Union Mathematical Olympiad
559
559
Part of
1992 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 559 Commonwealth of Independent States 1992 square inside a square
Source:
8/14/2019
E
E
E
is a point on the diagonal
B
D
BD
B
D
of the square
A
B
C
D
ABCD
A
BC
D
. Show that the points
A
,
E
A, E
A
,
E
and the circumcenters of
A
B
E
ABE
A
BE
and
A
D
E
ADE
A
D
E
form a square.
geometry
square
Circumcenter