equal products of areas in convex hecagon with concurrent diagonals
Source: Norwegian Mathematical Olympiad 2011 - Abel Competition p2b
September 4, 2019
geometryhexagondiagonalsconcurrencyconcurrentarea of a triangleareas
Problem Statement
The diagonals , and of a convex hexagon intersect in a common point.
Show that ,
where is the area of the triangle .
https://cdn.artofproblemsolving.com/attachments/0/a/bcbbddedde159150fe3c26b1f0a2bfc322aa1a.png