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Sharygin Geometry Olympiad
2022 Sharygin Geometry Olympiad
7
7
Part of
2022 Sharygin Geometry Olympiad
Problems
(1)
Triangle beside $^2$ construction
Source: Sharygin CR P7(Grades 8-9)
3/4/2022
A square with center
F
F
F
was constructed on the side
A
C
AC
A
C
of triangle
A
B
C
ABC
A
BC
outside it. After this, everything was erased except
F
F
F
and the midpoints
N
,
K
N,K
N
,
K
of sides
B
C
,
A
B
BC,AB
BC
,
A
B
. Restore the triangle.
Sharygin Geometry Olympiad
Sharygin 2022
geometry