Shortest Path Problem
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Background.
In the diagram below, you are standing at point D. Your tent is at point C. The river is bank is line AB. You are trying to find the shortest path from where you stand to the river bank (to get water), then to your tent. Where should you run to the river to have the shortest path to your tent?
Shortest path from where I stand to the river to my tent...
Drag point E along segment AB, finding the point where the total distance from D to E to C is as small as possible.
Try dragging point E to the following points:
- Point A
- Point B
- Smallest Total Distance (