MathDB

21

Part of 1986 IMO Longlists

Problems(1)

Find the maximum value of the product

Source:

8/29/2010
Let ABAB be a segment of unit length and let C,DC, D be variable points of this segment. Find the maximum value of the product of the lengths of the six distinct segments with endpoints in the set {A,B,C,D}.\{A,B,C,D\}.
geometry unsolvedgeometry