cevians in equilateral (2023 Adygea Teachers' Geometry Olympiad p4)
Source:
February 28, 2024
geometryEquilateral
Problem Statement
In the equilateral triangle (), 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 . Find the length of the cevian segment from the vertex of the triangle to the nearest point of intersection with the circle.