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Three-Side Triangle Area Calculator — result sheet
Find the area, perimeter, semiperimeter, and inradius of a triangle when all three side lengths are known.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: s = (a + b + c)/2; area = √(s(s-a)(s-b)(s-c)); inradius = area/s.
With three sides, Heron’s formula determines the triangle area without requiring an angle. The calculator also reports the perimeter and the radius of the inscribed circle.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Side a — units; minimum 1.0E-6; maximum 1000000000
- Side b — units; minimum 1.0E-6; maximum 1000000000
- Side c — units; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Side a | 3 |
| Side b | 4 |
| Side c | 5 |
Area: 6 square units; perimeter: 12 units; inradius: 1 unit.
Assumptions and limits
- The three positive lengths satisfy every strict triangle inequality, so a non-degenerate triangle exists.
- All sides use the same unit; the area uses squared units and the inradius uses the original unit.
- The result describes Euclidean plane geometry and does not model survey, map, or measurement uncertainty.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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