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Adygea Teachers' Geometry Olympiad
2023 Adygea Teachers' Geometry Olympiad
4
4
Part of
2023 Adygea Teachers' Geometry Olympiad
Problems
(1)
cevians in equilateral (2023 Adygea Teachers' Geometry Olympiad p4)
Source:
2/28/2024
In the equilateral triangle
A
B
C
ABC
A
BC
(
A
B
=
2
AB = 2
A
B
=
2
), cevians are drawn that do not intersect at one point. It turned out that the pairwise intersection points of these cevians lie on the inscribed circle of triangle
A
B
C
ABC
A
BC
. Find the length of the cevian segment from the vertex of the triangle to the nearest point of intersection with the circle.
geometry
Equilateral