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Oblique Triangle Included-Angle Area Calculator — result sheet
Calculate the area of a triangle from two sides and their included angle.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Area=1/2×a×b×sin(included angle).
The two side lengths and included angle are used directly, so the angle location is not ambiguous.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Side a — minimum 1.0E-6; maximum 1000000000
- Side b — minimum 1.0E-6; maximum 1000000000
- Included angle — minimum 1.0E-6; maximum 179.999999
Worked example
| Input | Value |
|---|---|
| Side a | 8 |
| Side b | 11 |
| Included angle | 42 |
Area ≈29.45 square units.
Assumptions and limits
- Both sides are positive and the included angle is strictly between zero and 180 degrees.
- The triangle is flat Euclidean geometry and the angle is measured in degrees.
- Uncertainty, side labels from a different angle, and construction or surveying approval are not modeled.
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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