Maximizing a length
Source: http://www.olimpiadamatematica.es/platea.pntic.mec.es/_csanchez/olimp_1963-2004/OME2004.pdf
November 14, 2016
geometry
Problem Statement
We are given an equilateral triangle , of side , inside its circumscribed circle. We consider the smallest of the two portions of circle limited between and the circumference. If we consider parallel lines to , some of them cut the portion of circle in a segment. Which is the maximum possible length for one of the segments?