### Distance between two points calculation

Distance Between two Points calculator calculates the distance between two given points co-ordinates (x

_{1}, y

_{1}) and (x

_{2}, y

_{2}) in the XY plane by applying the pythagorean theorem.

Distance Formula : d = √ (x

_{2}– x

_{1})

^{2}+ (y

_{2}- y

_{1})

^{2}

_{1},y

_{1}) and (x

_{2},y

_{2}), we first get the distance of x and y axis as :

x = (x

_{2}- x

_{1}) and y = (y

_{2}- y

_{1}).

now we apply the formula of Pythagorean theorem. $$ distance = \sqrt{ x^{2} + y^{2}} $$ Let's take the example as given coordinates for two points as:

one point is (1 , 3) and second point is (8 , 6)

we will find the distance of x and y axis as follows:

$$x = (8 - 1) = 7$$ $$y = (6 - 3) = 3$$ $$ distace = \sqrt {(7)^{2} + (3)^{2}} $$ $$ = \sqrt {49 + 9}$$ $$ = \sqrt {58}$$