Calculating rectangle having 2 coordinates and 1 length

Question

How could I calculate the other 2 points if I have a rectangle with 2 points and 1 length given?

A = 50.88259382849774,6.003988087177277
B = 50.88269282423443,6.0036662220954895
C = ?
D = ?

AB = 25m

All sides are 90 degrees

PS: I already asked this question but in triangle form so I thought maybe this way it would be possible to solve.

Answer 1

You can't. By Thales' theorem, if $O$ denotes the midpoint of $AB$ and $r$ is half the length of $AB$ then every pair of diametrically opposite points on the circle of radius $r$ with center $O$ completes the rectangle.