MathDB
angle for min length of tangent, incircle of equilateral 1990 Kyiv City MO 8.2

Source:

July 18, 2021
geometryEquilateralincirclegeometric inequalityminangles

Problem Statement

A line passes through the center OO of an equilateral triangle ABCABC and intersects the side BCBC. At what angle wrt BCBC should this line be drawn this line so that its segment inside the triangle has the smallest possible length?