Integer Answer Type Question Consider a \( \triangle A B C \) and l...

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Integer Answer Type Question
Consider a \( \triangle A B C \) and let \( a, b \) and \( c \) denote the
\( \mathrm{P} \) lengths of the sides opposite to vertices \( A, B \) and \( C \),

WV respectively. \( a=6, b=10 \) and the area of the triangle is \( 15 \sqrt{3} \). If \( \angle A C B \) is obtuse and if \( r \) denotes the radius of the incircle of the triangle, then \( r^{2} \) is equal to......
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