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Old Kyiv MO Geometry
Kyiv City MO 1984-93 - geometry
1991.8.5
1991.8.5
Part of
Kyiv City MO 1984-93 - geometry
Problems
(1)
concurent wanted, _|_ diagonals in convex quadr. 1991 Kyiv City MO 8.5
Source:
7/19/2021
The diagonals of the convex quadrilateral
A
B
C
D
ABCD
A
BC
D
are mutually perpendicular. Through the midpoint of the sides
A
B
AB
A
B
and
A
D
AD
A
D
draw lines, which are perpendicular to the opposite sides. Prove that they intersect on line
A
C
AC
A
C
.
geometry
concurrency
concurrent