MathDB

Locations of U and V

Source: CMO 1992 #3

August 8, 2008

geometryanalytic geometrytrapezoidsimilar triangles

Problem Statement

In the diagram,

ABCD

is a square, with

U

and

V

interior points of the sides

AB

and

CD

respectively. Determine all the possible ways of selecting

U

and

V

so as to maximize the area of the quadrilateral

PUQV

. http://i250.photobucket.com/albums/gg265/geometry101/CMO1992Number3.jpg