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Let z1, z2a n dz3 represent the vertice...

Let `z_1, z_2a n dz_3` represent the vertices `A ,B ,a n dC` of the triangle `A B C ,` respectively, in the Argand plane, such that `|z_1|=|z_2|=|z_3|=5.` Prove that `z_1sin2A+z_2sin2B+z_3sin2C=0.`

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