1. The problem statement, all variables and given/known data There are [itex]n > 3[/itex] points in the plane such that any three of the points form a triangle of area [tex] \leq 1[/tex]. Show that all n points lie in a triangle of area [tex]\leq 4[/tex]. 2. Relevant equations None. 3. The attempt at a solution This is hard to discribe since it is immposible to "draw" on a computer. However, I think this problem may not have been stated correctly, becuase, if we choose our 3 points to be the vertices of a triangle with area = 4, then we found a contradiction. Although, if I am wrong and this problem is correct, i thought that proving the contrapostivie proves the question. Can somebody please help me out?