Euclidean Distance

The Cartesian coordinate system allows us to specify any point using using $(x,y)$ where the center of the coordinates is $(0,0)$  Using this system, we can divide a geographic map into coordinates.

It is of course very useful to determine the distance between any two points.  To determine this, we can use the Euclidean Distance formula which is based on the Pythagorean Theorem.

The shortest distance between any two points is the size of the hypotenuse which is formed from the triangle made from the two points in question.



The distance hence is the square root of the sum of the squares which is equal to $\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$


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