# The midpoint of a line segment?

The midpoint is necessary to find when you are drawing a graph of a line segment. The midpoint is the halfway of a line segment, midpoints are the average of the points in cartesian coordinates. However, the midpoint of a line segment?. Consider points (x1, x2), (y1, y2), then you need to add the two points, then divide it by 2. You can say the midpoint is the average of two points in the cartesian coordinates. The midpoint calculator is an interactive way to find the midpoints of points in the Cartesian plane. You can find the midpoint of a circle or a triangle by the symmetry of these shapes. But the midpoints of a line segment are only found by taking the average of two points.

## How to find the midpoint?

The midpoint between two points x1 and x2 can be measured by adding the points and then dividing them by 2. Now find the midpoints of y1 and y2 first add the points y1 and y2 and then divide them by 2. The midpoints are the average of the points, and we would be able to find the middle of the line segment. When you are dealing with decimal or fractional points, it can be tricky to find the middle point. So, you need to use the midpoint calculator to find the midpoint of decimal or fractional points.

### What is the midpoint formula in the 2-dimensional plan?

In the two-dimensional plane, you can find the midpoints by the following form

**Consider the points**(x1,x2) and (y1,y2)

The formula for the midpoint is written as

**Midpoints = (x₁ + x₂/2, y₁ + y₂/2)**

**The midpoints are**

**Xm = x₁ + x₂/2**

**Ym = y₁ + y₂/2**

**Midpoints = (Xm, Ym)**

Now m indicates the midpoints are:

**Xm = x coordinate of the midpoint**

**Ym = y coordinate of the midpoint**

Use the midpoint calculator to find the midpoint in the 2-dimensional plan

### What is the midpoint formula in the 2-dimensional plan?

In a three-dimensional plan that we can do, we need to add the z-axis to the plan.

Point (x1,x2) (y1,y2) (z1,z2)

**M = (x₁ + x₂/2, y₁ + y₂/2, z₁ + z₂/2)**

In addition, the formula for the midpoint between three points by the midpoint calculator.

**Xm = x₁ + x₂/2**

**Ym = y₁ + y₂/2**

**Zm = z₁ + z₂/2**

The midpoint calculator is a simple way to find the midpoints between three-dimensional plans.

## Example 1:

So, right now take the points (x₁, x₂) are (8, 8) & (y₁, y₂) is ( 10, 12). The midpoint formula calculator is used to find the answer to the midpoint in the midpoint.

## How to find the midpoint distance?

The distance formula for the points **(x2-x1)2+(y2-y1)2, **where you need to deduct the points and then take the under root of points.

## Examples 2:

So,nNow take the points (x,y,z) plan, here (x₁, x₂) are (5, 10), (y₁, y₂) are (8, 20) and the (z₁, z₂) (20, 25).

Then the answer to the question is:

(x₁, x₂) = (5, 10)

(y₁, y₂) = (8, 20)

(z₁, z₂) = (20, 25)

Then:

**M= (x₁ + x₂/2, y₁ + y₂/2, z₁ + z₂/2)**

**M = (5+10)/2, (8+20)/2, (20+25)/2**

**M = (15)/2, (28)/2, (45)/2**

**Midpoints = ( 7.5,14, 22.5 )**

**That’s, Where x= 7.5 , y = 14, and z = 22.5**

**The distance between the points is:**

**D= (x2-x1)2+(y2-y1)2+(z2-z1)2**

**D = (10-5)2+(20-8)2+(25-20)2**

**D= (5)2+(12)2+(5)2**

**D = 25+144+25****D = 194**

D= 13.9284

## Conclusion:

The midpoint is essential to find the perpendicular online segments. Therefore, the midpoint calculator makes it easy to find the midpoints in the cartesian and three-dimensional plan.