3 points construction for max pentagon area
Source: VI Soros Olympiad 1990-00 R1 10.6 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
May 28, 2024
geometrygeometric inequalityareaspentagonconstruction
Problem Statement
Points and are given on a circle. With the help of a compass and a ruler, construct on this circle the points , that lie on one side of the straight line and for which the pentagon with vertices , , , , has the largest possible area