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Novosibirsk Oral Olympiad in Geometry
2023 Novosibirsk Oral Olympiad in Geometry
3
line segments from 5 points (2023 Novosibirsk Oral Geo Oly 8.3)
line segments from 5 points (2023 Novosibirsk Oral Geo Oly 8.3)
Source:
September 4, 2023
geometry
Problem Statement
Points
A
,
B
,
C
,
D
A, B, C, D
A
,
B
,
C
,
D
and
E
E
E
are located on the plane. It is known that
C
A
=
12
CA = 12
C
A
=
12
,
A
B
=
8
AB = 8
A
B
=
8
,
B
C
=
4
BC = 4
BC
=
4
,
C
D
=
5
CD = 5
C
D
=
5
,
D
B
=
3
DB = 3
D
B
=
3
,
B
E
=
6
BE = 6
BE
=
6
and
E
D
=
3
ED = 3
E
D
=
3
. Find the length of
A
E
AE
A
E
.
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