I have 2 points in 3-dimensional space. I need to know the distance between them. The problem is, I do not know their coordinates.
The only thing I have to go on are 6 other points in this space. The distance to these points from both the points in question is know. Their coordinates are not know, only the distances between each point and the 2 original points are known. Distances between any of the 6 individually are not known.
Is it possible to extrapolate the distance between the first 2 points, using only the distances to other points they have in common?
An example, let's call the first 2 points a1 and a2, the 6 other point A to F:
From a1 to:
- A: 91cm
- B: 91cm
- C: 89cm
- D: 67cm
- E: 67cm
- F: 95cm
From a2 to:
- A: 86cm
- B: 87cm
- C: 87cm
- D: 91cm
- E: 89cm
- F: 95cm