What is Distance Formula in Maths: How to Find the Distance between Two Points (For CBSE, ICSE, IAS, NET, NRA 2022)

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Title: What is Distance Formula in Maths

  • Distance between two points is the length of the interval joining the two points.
  • If the two points lie on the same horizontal or same vertical line, the distance can be found by subtracting the coordinates that are not the same.
  • In analytic geometry, distance formula used to find the distance measure between two lines, the sum of the lengths of all the sides of a polygon, perimeter of polygons on a coordinate plane, the area of polygons and many more.
  • As an example, we can find the lengths of sides of a triangle using the distance formula and determine whether the triangle is scalene, isosceles or equilateral.

How to Find the Distance between Two Points

  • The distance between two points of the can be found using the distance formula.
  • An ordered pair (x, y) represents co-ordinate of the point, where x-coordinate (or abscissa) is the distance of the point from the centre and y-coordinate (or ordinate) is the distance of the point from the centre.

Formula to Find Distance between Two Points in 2d Plane

Consider two points on the given coordinate axis. The distance between these points is given as:

Formula to Find Distance between Two Points in 3d Plane

Below formula used to find the distance between two points, Let are the two points in three dimensions plane.

Illustration 2 for Formula_to_find_Distance_betwee …

  • This formula gives the distance between two points.
  • Distance of any point Q (x, y, z) in space from origin O (0,0, 0) is given by,

Distance Formula from Point to Line

Distance Formula from Point to Line
  • The distance from to this line is measured along a vertical line segment of length in accordance with the formula.
  • Similarly, for vertical lines (b = 0) the distance between the same point and the line is , as measured along a horizontal line segment.

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