MathDB

3

Part of 1992 Canada National Olympiad

Problems(1)

Locations of U and V

Source: CMO 1992 #3

8/8/2008
In the diagram, ABCD ABCD is a square, with U U and V V interior points of the sides AB AB and CD CD respectively. Determine all the possible ways of selecting U U and V V so as to maximize the area of the quadrilateral PUQV PUQV. http://i250.photobucket.com/albums/gg265/geometry101/CMO1992Number3.jpg
geometryanalytic geometrytrapezoidsimilar triangles