2nd ASU 1962 problems Problem 11 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. 2nd ASU 1962 © John Scholes jscholes@kalva.demon.co.uk 15 Sep 1998