How this calculation works
Recover a triangle’s area from its three medians.
THE FORMULA
Apply Heron’s formula to the median lengths, then multiply by 4/3A worked example
Medians 3, 4 and 5 form a triangle of area 6, so the original area is 8.
Good to know
The medians must themselves form a nondegenerate triangle.
Reference: OpenStax Algebra and Trigonometry, Trigonometric Applications (opens in a new tab) ↗
Read the result
Recover a triangle’s area from its three medians.
The primary result is labeled “Area”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The medians must themselves form a nondegenerate triangle.
For a related exercise, try the circle calculator.
A few questions, answered
How can I check the default inputs by hand?
Medians 3, 4 and 5 form a triangle of area 6, so the original area is 8.
Which rule does this calculator apply?
Apply Heron’s formula to the median lengths, then multiply by 4/3