Heron Triangle Area
Use Heron's formula to calculate triangle area from three side lengths.
How to use
- Enter positive side lengths a, b, and c.
- Calculate to view area, semiperimeter s, and total perimeter.
Capabilities and scope
The runner first enforces triangle inequalities, then returns area, semiperimeter, and perimeter.
How it works
It uses s=(a+b+c)/2 and A=√[s(s−a)(s−b)(s−c)].
Example
A 3-4-5 triangle has s=6 and area 6.
Useful for
- Find triangle area when no height is known
- Validate three measured sides while computing area
Before you use it
- All triangle inequalities must hold; otherwise no area is produced.
Frequently asked questions
What if one side equals the sum of the other two?
That is a degenerate zero-area triangle, which the current runner rejects.