# 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.

- 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

- 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.