Distance Between Two Points

What is Distance Between Two Points?

The distance between two points is nothing but the length of the straight line segement joining those points i.e., it is the shortest distance between the two points.

What’s the formula for distance between two points?

We can find the distance between two points  (x₁, y₁) and (x₂, y₂) using the distance formula as follows:

[Tex]\bold{\text{Distance} = \sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2}} [/Tex]

How to Find Distance Between Two Points in 3D?

For two points with three-dimensional coordinates (x₁,y₁,z₁) and (x₂,y₂,z₂), the distance between them is given by as follows:

[Tex]\bold{Distance = \sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2 + (z_2 – z_1)^2}} [/Tex]

Can you Find Distance Between Two Points in a Coordinate Plane without using the Distance Formula?

Yes, we can also find the distance between two points in a coordinate plane by drawing a right angle triangle using both points as end of hypotenous and applying  Pythagorean theorem to find the length of hypotenuse.

What is the distance between 2 points called?

Distance between 2 point is called Euclidean Distance.

Distance Between Two Points is the length of line segment that connect any two points in coordinate plane in coordinate geometry. It can be calculated using distance formula for 2D or 3D. It represents the shortest path between two locations in a given space.

In this article, we will learn how to find the distance between two points. Let’s first understand what are point before learning the methods and formula to find the distance between them.