ratio on a chord of a cyclic quad
Source: IV Soros Olympiad 1997-98 R2 9.6 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
June 1, 2024
geometrycyclic quadrilateral
Problem Statement
A chord is drawn through the intersection point of the diagonals of an inscribed quadrilateral. It is known that the parts of this chord located outside the quadrilateral have lengths equal to and of this chord. In what ratio is this chord divided by the intersection point of the diagonals of the quadrilateral?