similar triangles on sides of a ABCD with perpendicular diagonals
Source: 2013 Oral Moscow Geometry Olympiad grades 10-11 p4
August 17, 2019
geometrysimilar trianglesperpendiculardiagonalsequal segments
Problem Statement
Similar triangles and are built on the sides of the quadrilateral with perpendicular diagonals in the outer side (the neighboring ones are oriented differently). Prove that .