Midpoint Calculator
Midpoint of a segment.
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Geometry
Distance Formula Calculator
Find the distance between two points, plus the midpoint.
Distance
—
Between two points.
| Midpoint | — |
|---|---|
| Δx | — |
| Δy | — |
| — |
Show our math
Enter your figures above to see the step-by-step working.
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How the Distance Formula Calculator Works
The distance between two points on a plane comes straight from the Pythagorean theorem: treat the horizontal gap (x₂−x₁) and vertical gap (y₂−y₁) as the two legs of a right triangle, and the straight-line distance is the hypotenuse. So distance = √((x₂−x₁)² + (y₂−y₁)²).
Enter the coordinates of both points and this calculator returns the distance, the midpoint, and the horizontal and vertical changes. For the points (1,2) and (4,6), the distance is exactly 5.
distance = √((x₂−x₁)² + (y₂−y₁)²)
Frequently Asked Questions
What is the distance formula?
The straight-line distance between two points: √((x₂−x₁)² + (y₂−y₁)²). It comes from the Pythagorean theorem.
How do you find the distance between two points?
Subtract the x-coordinates and the y-coordinates, square each difference, add them, and take the square root.
What is the distance between (1,2) and (4,6)?
Exactly 5 — the changes are 3 and 4, and √(9+16) = √25 = 5.