How can you locate the point without using trial and error and dragging? In problem solving it is often useful to look at a [i]simpler case[/i] of a problem. What if, instead of finding a point equidistant from all four villages, we focus only on finding a point equidistant from villages [i]A[/i] and [i]B[/i]?
[list=1][br][*] Find a point equidistant from [i]Village A[/i] and [i]Village B[/i]. Of course, you could use trial and error to do this, but maybe there's a more precise way. What tools could you use?[br][*] How can you use this to solve your original problem?[br][/list]