Grocery wants to build a warehouse that is equidistant from its three stores L, M, and N. Which construction correctly finds the best location of the warehouse?

ONLY ANSWER WITH LOGIC REASONING AND NOT FOR POINTS please.

The answer selected is right. It is the circumcenter and is the most equidistantly positioned. I took the class. There’s not a fantastic way to explain it other than it just makes sense when looking at it. Try to explain your confusion in the comments and maybe I can help a little closer to your problem. Hope this helped? :)