MathDB

8

Part of 2005 Sharygin Geometry Olympiad

Problems(1)

ABCD inscribed in 3 rectangles, 2o of which are squares, is 3rd square also?

Source: Sharygin 2005 VIII-IX CR 8

8/18/2019
Around the convex quadrilateral ABCDABCD, 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 ABCDABCD if there is one vertex ABCDABCD on each side of the rectangle).
geometryrectangleinscribed