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Consider a triangle ABC and let a, b and...

Consider a triangle ABC and let a, b and c denote the lengths of the sides opposite to vertices A, B and C, respectivelu. Suppose `a = 6, b = 10` and the triangle is `15 sqrt3`. If `angle ACB` is obtus and if r denotes than radius of the incircle of the triangle, then the value of `r^(2)` is _____

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