Show that straight lines (A^2-3B^2)x^2+8...

Show that straight lines `(A^2-3B^2)x^2+8A Bx y+(B^2-3A^2)y^2=0` form with the line `A x+B y+C=0` an equilateral triangle of area `(C^2)/(sqrt(3)(A^2+B^2)` .

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