property of intersection point of diagonals in a cyclic ABCD (distance ratio)
Source: Sharygin 2005 finals 11.3
August 31, 2019
ratiodistancecyclic quadrilateralgeometrydiagonals
Problem Statement
Inside the inscribed quadrilateral there is a point , the distances from which to the sides are proportional to these sides. Prove that is the intersection point of the diagonals of .