How this calculator works
Heron's formula gives the area from the semiperimeter, while the law of cosines determines the angles.
Formula
K=√(s(s-a)(s-b)(s-c)); cos A=(b²+c²-a²)/(2bc)Uses Heron's formula and the law of cosines for a valid SSS triangle.
Worked example
3-4-5 triangle is a verified test case used by the calculation engine.
Assumptions and limitations
- All side lengths are positive.
- The three sides must satisfy the triangle inequality.
- Angles are reported in degrees.
Methodology & sources
This calculator uses deterministic, versioned calculation logic. The formula and verified examples above are part of the calculation definition used by CalcuMint. Technical calculation version: 1.
- CalcuMint deterministic geometry engine
Frequently asked questions
What inputs are required?
Three side lengths that form a valid triangle.
How is the area calculated?
Area is calculated with a numerically scaled form of Heron’s formula.