Distance Between Two Points Calculator

Enter the coordinates of two points to find the straight-line distance between them.

Point 1
Point 2
Distance: 5

How the distance formula works

The distance between two points (x1, y1) and (x2, y2) is found with the distance formula: d = √((x2−x1)² + (y2−y1)²) — which is just the Pythagorean theorem applied to the horizontal and vertical gaps between the points.

The horizontal gap (x2−x1) and vertical gap (y2−y1) form the two legs of a right triangle, and the straight-line distance between the points is the hypotenuse of that triangle.

Frequently asked questions

Does it matter which point I call point 1 or point 2?

No — the distance formula squares the differences, so the result is the same regardless of which point you label first.

How is this related to the Pythagorean theorem?

The distance formula is a direct application of a² + b² = c²: the x-difference and y-difference between the points are the two legs (a and b), and the distance is the hypotenuse (c).

Can this be extended to three dimensions?

Yes — for points (x1,y1,z1) and (x2,y2,z2) in 3D space, the formula extends to d = √((x2−x1)² + (y2−y1)² + (z2−z1)²).

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