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Kvant 2024
M2784
M2784
Part of
Kvant 2024
Problems
(1)
Unusual locus geometry
Source: Kvant Magazine No. 2 2024 M2784
5/2/2024
The bisectors
A
D
AD{}
A
D
and
B
E
BE{}
BE
were drawn in the triangle
A
B
C
ABC{}
A
BC
and they intersected at point
I
.
I{}.
I
.
Then everything was erased, leaving only the points
D
D{}
D
and
E
.
E{}.
E
.
Find the set of possible positions of the point
I
.
I{}.
I
.
Proposed by M. Didin
geometry
Locus