Distance Formula Formula - Euclidean Plane

The distance formula is used to find the distance between two points on a plane. The two coordinate points may be (x1, y1) and (x2, y2). Here is the formula to find the distance between two points.

Distance Formula


D = √((x2 - x1)2 + (y2 - y1)2)


D = Distance
x1,x2 = x Axis Point
y1,y2 = y Axis Point

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The distance formula is derived from the Pythagoras theorem. A right triangle with base b, height x will Have hypotenuse b equal to square root of the sum of b2 and x2. From this, distance between between two points is √x2^2 – x1^2 + y2^2-y1^2.

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