There are 3 towns; that form a triangle when looking at a map. They want to build the airport so it is equidistant from all three towns so that it can easily service them all. Explain how you could find the location of where the airport should be placed. Be specific.

Question

There are 3 towns; that form a triangle when looking at a map.    They want to build the airport so it is equidistant from all three towns so that it can easily service them all.  Explain how you could find the location of where the airport should be placed. Be specific.

phi · Answer

can you draw a picture ?

anonymous · Answer

if you go to the closed question there is a picture there that someone else drew.

phi · Answer

I don't need the picture, I was wondering if you know how to draw the picture. Sometimes drawing the picture helps to solve the problem.

can you draw the picture ?

anonymous · Answer

no, I don't know where to start with it.

mathmate · Answer

|dw:1357603691253:dw|
Hint:
Every point on the perpendicular bisector of a line segment is equidistant from each end of the segment.
The point you need for a triangle is call the circumcentre.