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It is a triangle ABC, \(\begin{vmatrix}1 &a & b \\[0.3em]1 &c &a \\[0.3em]1& b &c\end{vmatrix}\)

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It is a triangle ABC, \(\begin{vmatrix} 1 &a & b \\[0.3em] 1 &c &a \\[0.3em] 1 & b &c \end{vmatrix}\) = 0

then find the value of sin2A+ sin2B+ sin2C

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= c2 - ab - ac + a2 + b2 - bc

= a2 + b2 + c2 - ab - bc - ac

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