How this calculation works
All three medians meet at the centroid. The centroid lies two-thirds of the way along each median from its vertex.
m = √(2b²+2c²−a²)/2A worked example
The median to side 6 in a 5–5–6 triangle has length 4.
Good to know
A median bisects the opposite side. Its angle depends on the other sides.
Reference: OpenStax Algebra and Trigonometry, Trigonometric Applications (opens in a new tab) ↗
Read the result
Find the segment from a vertex to the midpoint of its opposite side using Apollonius’s theorem.
The primary result is labeled “Median length”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
A median bisects the opposite side. Its angle depends on the other sides.
For a related exercise, try the circle calculator.
A few questions, answered
How can I check the default inputs by hand?
The median to side 6 in a 5–5–6 triangle has length 4.
Which rule does this calculator apply?
m = √(2b²+2c²−a²)/2