Mathematiques
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Length of a Line Segment Calculator.
Find the distance between two Cartesian points.
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Les résultats se mettent à jour pendant la saisie.
Results update automatically as you type.
Use Cases
Geometry homework and math practice
Quickly verify the length of a line segment between two points when solving geometry problems or practicing coordinate geometry.
Example: Find the distance between (1, 2) and (4, 6) to check your answer.
Mapping and navigation planning
Estimate straight-line distances between two locations on a Cartesian grid, useful for planning routes or understanding spatial relationships.
Example: Measure the direct distance between two landmarks on a city map.
Frequently Asked Questions
- How do I use the Length of a Line Segment Calculator?
- Enter the x and y coordinates for the first point (x₁, y₁) and the second point (x₂, y₂) in the corresponding fields. The calculator will compute the Euclidean distance between them, which is the length of the line segment connecting the two points.
- What formula does this calculator use?
- It uses the distance formula derived from the Pythagorean theorem: distance = √((x₂ - x₁)² + (y₂ - y₁)²). This gives the straight-line distance between the two points in the same units as the coordinates.
- Can I use negative coordinates?
- Yes, the calculator accepts negative values for x and y coordinates. The distance formula squares the differences, so negative coordinates work perfectly and yield a positive distance.
Tips & Common Mistakes
Tips
- Double-check that you enter the coordinates in the correct order: x₁, y₁ for the first point and x₂, y₂ for the second point.
- The result is always a non-negative number, representing the straight-line distance in the same units as your coordinates.
- If you need the distance between points in 3D space, this calculator is not applicable; it only works for 2D Cartesian coordinates.
- For a quick mental check, remember that the distance is the hypotenuse of a right triangle with legs equal to the differences in x and y.
Common Mistakes to Avoid
- Swapping the x and y coordinates for a point, which can lead to an incorrect distance if the points are not symmetric.
- Forgetting to square the differences before adding them, which would give the Manhattan distance instead of the Euclidean distance.
- Entering coordinates with commas or parentheses (e.g., '1,2' or '(1,2)') instead of just numbers, which may cause errors.
Last updated: August 13, 2026