Answer to Question #141078 in Geometry for Semaj

Question

The map shows the route for a race. You are 365 m from drink station R and 2000 m from drink station S. The first aid station is located at the mid-point of two stations. How far are you from the first aid station?

Answer 1

If you aren't located within the single line between drink stations R and S, but rather located elsewhere, then we would have a triangle where left side is a line between you and drink station R (length is 365m), right side is a line between you and drink station S (length is 2000m) and the first aid station would be a middle point of a RS line, so the median of this triangle (line from you to the first aid station) is what we need to find.

Unfortunately, having only 2 lengths of sides and no other information, it is impossible to determine neither the third side (RS), nor the median. The question cannot be answered