1. The problem statement, all variables and given/known data Given that the smallest angle of a triangle is half of the largest angle. The perimeter of this triangle is p. Find the sum of the possible of values of the least side. 3. The attempt at a solution The first thing that I thought was of a quadratic in a(last side) through cosine rule but i realized that I actually don't have an angle. Here is what I have done: I assume one of the angles to be A, 2A and 180-3A I have the inequality A<180-3A<2A 36<A<45 a=2R sin A b=2R sin 3A c=2R sin 2A I thought I might be able to apply the cosine rule converting the other sides in terms of 'a' by converting sin A=a/2R someone please tell me if R(circumradius) is also fixed if perimeter is set to 'p'? Please help me with this problem!!!