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What is the Distance Formula?

Distance is a very common word and we use it frequently when we want to travel. Distance can be measured in different units. The distance formula is all about finding the distance between the given two points or locations. If there’s a line segment, you can measure the length of the line segment using the distance formula. Pythagoras theorem is also used to find the distance between two points given in a two-dimensional platform. Let’s learn a few more things about this concept in the given article.

Different Types of Distance Formulae:

Following are the different ways of distance formulas that are used in a coordinate system of geometry. They are as follows:

1. Measure the distance for two points in a 2D plane structure 

2. Measure the distance for two points in a 3D platform

3. Measure the distance for two parallel lines in a 2D structure

4. Measure the distance measured between two skew lines

5. Measure the distance from a point to another plane

6. Measure the distance for two different parallel planes

What is the Distance Formula to Calculate Distance Between Two Points?

If a two-dimensional plane or a three-dimensional figure is given and you want to calculate the distance between two points, we need to calculate using the Pythagorean Theorem.

What is the Distance Between Two Points in a 2D Plane?

The distance formula that is being used in order to calculate the distance between two points in a 2D figure is often called the Euclidean Distance Formula. In order to derive this formula, we need to take two points in a 2D plane structure is A and B. Thus, their coordinates will be – A (x1, y1) (x1, y1), and B (x2, y2) (x2, y2). This is estimated by considering the distance between the two points A and B as d.

Let’s Learn About Section Formula

Section formula is an important topic. In coordinate geometry, the formula of the section is being used to find the ratio where a line segment is being divided by a point that is internally or externally constructed. Section formula is used to find out the centroid of a structure, in-center, and the ex-centers of a triangle. In the subject of physics, this formula is used to find the central mass of systems, the equilibrium points, and other such points and geometrical structures.

Let’s draw a point p  on the given line segment AB, then it will divide AB into two parts, AP and PB. The ratio in which the line is divided is also called its coordinates. The division point can be achieved through the section formula.

You can use a section formula to find the coordinate of the point which is used in dividing a given line segment made by joining two of the points into two different parts in such a way that the length’s ratio gives the formation of a ratio. 

How Many Sections Formulas are There?

There are basically two types of section formula, they are given as follows:

  • Internal Section Formula
  • External Section Formula

The Internal section formula is also known as the ‘Section Formula for the Internal Division’. When a line segment is drawn and is divided in the ratio of m: n(internally), that time this formula is being used. That is where point ‘C’ lies, this is located somewhere between the points marked as A and B. You can visit Cuemath for further knowledge in formulae, you can develop an interest in this amazing field of maths by learning from Cuemath. This will help you to understand these mathematical concepts in an easy way.

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