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Old Kyiv MO Geometry
Kyiv City MO Seniors 2003+ geometry
2017.10.3
2017.10.3
Part of
Kyiv City MO Seniors 2003+ geometry
Problems
(1)
AB = AH wanted inside a square ABCD (2017 Kyiv City MO 10.3)
Source:
9/9/2020
Given the square
A
B
C
D
ABCD
A
BC
D
. Let point
M
M
M
be the midpoint of the side
B
C
BC
BC
, and
H
H
H
be the foot of the perpendicular from vertex
C
C
C
on the segment
D
M
DM
D
M
. Prove that
A
B
=
A
H
AB = AH
A
B
=
A
H
.(Danilo Hilko)
geometry
square
equal segments