When to use this calculator
Find a triangle median length from its three side lengths. A median connects a vertex to the midpoint of the opposite side.
Explore the triangle calculators for other questions in this topic. For a related calculation, use the Triangle Perimeter Calculator: Add the side lengths of a valid triangle.
PUTTING IT INTO PRACTICE
Triangle Median: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Side receiving median | 6 |
| Second side | 5 |
| Third side | 5 |
| Result | 4 units |
- Check the input labels and enter the example values above.
- Apply the relationship: Median to side a = √(2b²+2c²−a²)/2.
- The result is 4 units, rounded for display.
How to interpret your result
A median connects a vertex to the midpoint of the opposite side.
Use base and perpendicular height for the simplest area calculation. With three known sides, Heron’s formula avoids measuring height. Triangle side lengths must satisfy the triangle inequality before any area result is meaningful.
Frequently asked questions
Can I use the sloping side as triangle height?
Only if it is perpendicular to the chosen base. A general sloping side is not the perpendicular height.
When is the triangle median calculator useful?
Find a triangle median length from its three side lengths. A median connects a vertex to the midpoint of the opposite side.
How do I use the triangle median calculator?
Enter side receiving median, second side, third side. The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Median to side a = √(2b²+2c²−a²)/2.
What should I check before using the result?
A median connects a vertex to the midpoint of the opposite side.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
Further reading
For background on this topic, see OpenStax: non-right triangles ↗. This is a topic reference, not an external review or endorsement of this tool.
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