ClarityKitFind a tool
Geometry

Triangle Median Calculator

Find all three median lengths from the sides of a triangle.

Use consistent dimensionsArea and volume units explained below
Geometry desk
Geometry desk

Match each dimension to the shape and keep units consistent.

See the method

Set the dimensions

Runs on your device

Your measurement

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter side a, side b, side c.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

Median to side a = ½sqrt(2b²+2c²−a²); cycle the side labels for the other medians.

A WORKED EXAMPLE

Using side a = 3 units, side b = 4 units, side c = 5 units, the result is 4.27200187 units. Change these example inputs to match your task; use the method above to check each step.

Understanding your result

Main result is the median to side a. A median joins a vertex to the midpoint of the opposite side, and is not generally perpendicular.

What to keep in mind

Main result is the median to side a. A median joins a vertex to the midpoint of the opposite side, and is not generally perpendicular. Use the indicated units consistently. Ideal shapes are assumed; dimensions must describe the same object. Display rounding does not increase measurement precision.

Common questions

How do I use this triangle median calculator?

Find all three median lengths from the sides of a triangle. Enter side a in units, side b in units, side c in units. The starting example is editable; use values for the same system or project.

Which assumptions affect this result?

Main result is the median to side a. A median joins a vertex to the midpoint of the opposite side, and is not generally perpendicular.

Methodology maintained by ClarityKit. How these tools are built and checked.