Distance formula in geometry

Answer 1

Distance between any two points in classic geometry can always be calculated with the Pythagorean theorem. This will work in any number of dimensions. For instance, in the classic 2-dimensional geometry:

d = √(x2 + y2)

Where x and y represent the distance between the two points on the horizontal and vertical axis. To use this with any other number of dimensions, simply add the appropriate number of variables in the radical. For example, in 3D space, that would be:

d = √(x2 + y2 + z2)

Or for any number of dimensions:

d = √(d12 + d22 + d32 + ... + dn2)

This even holds true if you're only working in a single dimension:

d = √(x2)

d = x