Question 27

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

Correct Answer: 3

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