1. The problem statement, all variables and given/known data Find the maximum area of a triangle with sides a[itex]\in[/itex] (0,1] ,b[itex]\in[/itex] [1,2], c[itex]\in[/itex] [2,3]. 2. Relevant equations 3. The attempt at a solution I tried to make the area as a function of a single variable so that by differentiating I can get the answer. But it was unsuccessful. Thanx in advance.