ratio of areas wanted, right triangle and 2 symmetric points related
Source: Czech-Polish-Slovak Junior Match 2018, Team p2 CPSJ
March 7, 2020
ratioareasgeometrysymmetryright triangle
Problem Statement
Given a right triangle with the hypotenuse . Let be any interior point of triangle and points are symmetric of point wrt lines respectively. Specify all possible values for , where indicates the area of the polygon .