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Official Ukraine Selection Cycle
Kyiv City MO
Kyiv City MO - geometry
Kyiv City MO Juniors 2003+ geometry
2018.8.3
2018.8.3
Part of
Kyiv City MO Juniors 2003+ geometry
Problems
(1)
angle wanted, isosceles, altitudes, rectangle (2018 Kyiv City MO 8.3)
Source:
9/11/2020
In the isosceles triangle
A
B
C
ABC
A
BC
with the vertex at the point
B
B
B
, the altitudes
B
H
BH
B
H
and
C
L
CL
C
L
are drawn. The point
D
D
D
is such that
B
D
C
H
BDCH
B
D
C
H
is a rectangle. Find the value of the angle
D
L
H
DLH
D
L
H
.(Bogdan Rublev)
geometry
rectangle
isosceles
angles