Euclidean distance formula

Gives the straight-line distance between two points in three-dimensional space from the differences of their coordinates. It is used throughout geometry, physics and computing whenever the shortest direct separation between two points is needed.

d=\sqrt{(\Delta x)^2+(\Delta y)^2+(\Delta z)^2}

What the symbols mean

straight-line distance between the two points
difference in x-coordinates of the two points
difference in y-coordinates of the two points
difference in z-coordinates of the two points

About this formula

  • FieldMathematics
  • TopicEuclidean geometry
  • LevelHigh school
  • Also calleddistance between two points, straight-line distance, Euclidean distance in 3D, distance formula, 3D distance formula, Pythagorean distance between points
  • SourceWikidata Q126017

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