Euclidean distance Lauri K. Friberg 2020

Lauri K. Friberg 2020, math, Euclidean distance:

An example of the Euclidean distance d = sqrt( (x2-x1)² + (y2-y1)² ).

I can create an example of a Euclidean distance "d" like thus:
4² = 16, 3² = 9. d = sqrt( 16 + 9 ) = sqrt( 25 ) = 5.

Now I can create examples:
d = sqrt( (14-10)² + (9-6)² ) =
sqrt( 4² + 3² ) = sqrt( 16 + 9 ) = sqrt( 25 ) = 5.

When x2 = 14, x1 = 10, y2 = 9, y1 =6, then
{x1 = 10, y1 = 6} = [x1, y1] = [10, 6] and
{x2 = 14, y2 = 9} = [x2, y2] = [14, 9] then
Euclidean distance d = sqrt(14-10)²+(9-6)²
d = sqrt(4²+3²) = sqrt(16+9) = sqrt(25) = 5.

So Euclidean distance d = 5.