How is the distance formula related to the Pythagorean theorem?

The distance formula √((x₂−x₁)² + (y₂−y₁)²) is the Pythagorean theorem applied to a right triangle formed by the horizontal difference (x₂−x₁), vertical difference (y₂−y₁), and the straight-line distance as the hypotenuse.

What is the midpoint used for?

The midpoint ((x₁+x₂)/2, (y₁+y₂)/2) is the point exactly halfway between the two coordinates, useful for finding the center of a line segment.

Coordinate Distance Calculator

Calculate the distance and midpoint between two coordinate points.

How this is calculated

Distance = √((x₂−x₁)² + (y₂−y₁)²). Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2)

Assumptions used in this calculation

Cartesian plane: Assumes a standard 2D Cartesian coordinate system with consistent, unitless x/y values.

About this calculator

Calculates the straight-line distance and midpoint between two points on a coordinate plane.

Worked example

(0,0) to (3,4)

Result: Distance = 5

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Frequently asked questions

How is the distance formula related to the Pythagorean theorem?

What is the midpoint used for?

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