MathDB
Minimum value of Hexagon's area

Source: 2017 Azerbaijan Senior National Olympiad

April 29, 2022
geometryarea of a triangleareaconvex polygonminimum value

Problem Statement

İn convex hexagon ABCDEFABCDEF's diagonals AD,BE,CFAD,BE,CF intercepts each other at point OO. If the area of triangles AOB,COD,EOFAOB,COD,EOF are 4,64,6 and 99 respectively, find the minimum possible value of area of hexagon ABCDEFABCDEF