The midpoints are the middle of line segments and need to find the middle of the line. The points (x1, x2), and (y1, y2) are used to find the middle of line segments. It is easy to find the middle of the line by using an online free midpoint calculator. This can be a quite lengthy procedure if you are going to find the midpoints in 3-D plans. The midpoints represent that the line is straight and the middle section is equidistant from both the cartesian coordinates. In the three-D plan, the coordinates are (x1,y1,z1) and (x2,y2, and z2). Here you need to find the midpoints of those coordinates.

**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 actually 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. 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 cna find the midpoints by the following form

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

The formula for the midpoint is written as

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

**The midpoints are**

**Xm = x₁ + x₂/2**

**Ym = y₁ + y₂/2**

**Mid points = (Xm, Ym)**

Now m indicate the midpoints are:

**Xm = x coordinate of midpoint**

**Ym = y coordinate of 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 the three dimension plan we can, we need to add the z-axis in the plan.

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

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

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:**

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

(x₁, x₂) = (8, 8)

(y₁, y₂) = (10, 12)

**M = (x₁ + x₂/2, y₁ + y₂/2)**

**M = (**8+ 8)/2, (10+12)/2

**M = (**16)/2, (22)/2

**M =8, 11**

**(Xm, Ym)** = (8, 11)

## How to find 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.

D = √((x2-x1)2+(y2-y1)2)

D = √((8-8)2+(12-10)2)

D = √((0)2+(2)2)

D = √(0+4)

D = √4

D = 2

**Examples 2:**

Now 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**

**Mid points = ( 7.5 ,14, 22.5 )**

**Where x= 7.5 , y = 14, z = 22.5**

**The distance between the points are:**

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 on-line segments. The midpoint calculator makes it easy to find the midpoints in the cartesian and three-dimensional plan.