◉ 3D Midpoint Calculator

Find the midpoint of a line segment between two points in three-dimensional space.

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Also available in our Android app, with charts and full breakdown tables.

📘 About the 3D Midpoint

Find the midpoint of two points in 3D Cartesian space.

🧮 Formula

X
(x1+x2)/2
Y
(y1+y2)/2
Z
(z1+z2)/2

Where

  • x, y, z = coordinates
M = ((x1+x2)/2, (y1+y2)/2, (z1+z2)/2).

✏️ Worked example

(0,0,0) and (6,8,10)

You enter
X10
Y10
Z10
X26
Y28
Z210
You get
Midpoint X3
Midpoint Y4
Midpoint Z5

The midpoint is (3, 4, 5).

Try this example →

🧭 How to use this calculator

What you enter

  • X1
  • Y1
  • Z1
  • X2
  • Y2
  • Z2

What you get

  • Midpoint X
  • Midpoint Y
  • Midpoint Z

💡 Common uses

  • Coordinate geometry homework and revision
  • Analytic geometry calculations
  • Checking graph and line calculations

❓ Frequently asked questions

How is a 3D midpoint found?

Average each corresponding coordinate.