IIT JEE TRIGONOMETRIC FUNCTIONS Consider a triangle `A B C` and let `a , ba n dc` denote the leng...

Consider a triangle `A B C`
and let `a , ba n dc`
denote the lengths of the sides opposite to vertices `A , B ,a n dC`
, respectively. Suppose `a=6,b=10 ,`
and the area of triangle is `15sqrt(3)dot`
If `/_A C B`
is obtuse and if `r`
denotes the radius of the incircle of the triangle, then the value of `r^2`
is

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