ABCD inscribed in 3 rectangles, 2o of which are squares, is 3rd square also?
Source: Sharygin 2005 VIII-IX CR 8
August 18, 2019
geometryrectangleinscribed
Problem Statement
Around the convex quadrilateral , three rectangles are circumscribed .
It is known that two of these rectangles are squares. Is it true that the third one is necessarily a square?
(A rectangle is circumscribed around the quadrilateral if there is one vertex on each side of the rectangle).