3) A city has four hospitals located at points A,B,C and D in the diagram. The shaded region represents the city limits. An emergency call is always sent to the nearest hospital. A Voronoi diagram is used to determine the area served by each hospital. The equation for the perpendicular bisector of DB is y=-8/7}+325/14.
a) Find the equation of the line highlighted in red in the form of y=mx+c.
b) Calculate the intersection point for the edges between DB and DC. Round your answer to 3 sig figs. [it's not (9,13)
c) A new hospital is to be built, within the city, so that it is as far away as possible from any existing hospital. Find the coordinates of the location of the new hospital.
d) Calculate the distance from site D to the new hospital. Round to 3 sig figs.