[Solved] Consider a triangle ABC and let a, b and c denote the lengths of the sides opposite to vertices A, B and C respectively. Suppose a = 6, b = 10 and the area of the triangle is 15\\sqrt{3}. If \\angle ACB is obtuse andif r denotes the radius of the incircle of the triangle, then r^2 is equal to - - JEE (Advanced) 2010 Paper-2