Two circles are passing through vertex \( A \) of triangle \( A B C \) and one of the circle tou...

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Two circles are passing through vertex \( A \) of triangle \( A B C \) and one of the circle touches the side \( \mathrm{BC} \) at \( \mathrm{B} \) and other circle touches the side \( B C \) at \( C \). If \( a=5 \) and \( \angle A=30^{\circ} \) then find the product of radii of two circles.
[Note: All symbols used have their usual meaning in the triangle.]
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