If the equation \( a x^{2}+2 b x+3 c=0 \) and \( 3 x^{2}+8 x+15=0 \) have a common root where \(...

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If the equation \( a x^{2}+2 b x+3 c=0 \) and \( 3 x^{2}+8 x+15=0 \) have a common root where \( a, b, c \) are the length of the sides of \( \triangle A B C \) then \( \sin ^{2} A+\sin ^{2} B+\sin ^{2} C \) is equal to
(a) 1
(b) \( \frac{3}{2} \)
(c) \( \sqrt{2} \)
(d) 2
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