AC/BD , [ABC]=[CDA], [BCD] = k [DAB], 2 angle bisectors intersect on diagonal
Source: II Soros Olympiad 1995-96 R1 11.8 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
June 3, 2024
geometryareasratio
Problem Statement
The following is known about the quadrilateral : triangles and are equal in area, the area of triangle is times greater than the area of triangle , the bisectors of angles and intersect on the diagonal , straight lines and are not perpendicular. Find the ratio .