\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Site \(D\) is to be added to the Voronoi diagram shown below for sites \(A\), \(B\), and \(C\). Note that triangle \(ABC\) is scalene (all sides are of different lengths).
  1. In which existing cell does site \(D\) lie?
  2. Which of the existing cells will be affected by the introduction of site \(D\)?
  3. Redraw the Voronoi diagram with site \(D\) added.

Capture an image of your work. AI teacher feedback takes approximately 10 seconds.