min of largst areas by 2 straight lines through a point of triangle with area 1
Source: II Soros Olympiad 1995-96 R3 9.7 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
June 4, 2024
geometryareasgeometric inequality
Problem Statement
Through a point located on a side of a triangle of area , two straight lines are drawn parallel to the two remaining sides. They divided the triangle into three parts. Let be the largest of the areas of these parts. Find the smallest possible value of .