Triangle Median Calculator
Result
Triangle Median Calculator — free online calculator.
Formula
- Calculate the length of a triangle median from the three side lengths using Apollonius’ theorem. The three sides must satisfy the triangle inequality.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Triangle Median
For a triangle with a = 10, b = 8 and c = 6, the median to side a is 0.5 × √(2×8² + 2×6² − 10²) = 5.
Sample result: Calculating…
Frequently asked questions
What does the Triangle Median calculate?
A median connects a vertex to the midpoint of the opposite side. This calculator uses all three side lengths and validates that they can form a triangle.
Which values should I enter?
Enter the values requested by the calculator using the labels and units shown on the page.
What formula does this calculator use?
The calculator uses the following relationship: Median to side a: mₐ = 0.5 × √(2b² + 2c² − a²).
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.