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

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 `15sqrt3`. If `angleACB` is obtuse and if r denotes the radius of the in circle of the triangle , then `r^(2)` is equal to

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