\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider three sites \(A(3,2)\), \(B(8,3)\), and \(C(2,7)\).
  1. Find the equation of the perpendicular bisector of \([AB]\).
  2. Find the equation of the perpendicular bisector of \([AC]\).
  3. Find the coordinates of the Voronoi vertex \(V\) where the edges meet.

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