Russian problems Problem 23 The triangle ABC satisfies 0 <= AB <= 1 <= BC <= 2 <= CA <= 3. What is the maximum area it can have?
If we ignore the restrictions of CA, then the maximum area is 1, achieved when AB is perpendicular to BC. But in this case CA satisfies the restrictions. Russian 21-30 (C) John Scholes jscholes@kalva.demon.co.uk 15 Sep 1998