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SAS Triangle Area — result sheet
Calculate a triangle's area 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(C), where C is the angle included by sides a and b.
When two sides and the angle between them are known, the sine area formula supplies the perpendicular component needed for the triangle area.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Side a — units; minimum 1.0E-6; maximum 1000000
- Side b — units; minimum 1.0E-6; maximum 1000000
- Included angle — degrees; minimum 1.0E-6; maximum 179.999999
Worked example
| Input | Value |
|---|---|
| Side a | 5 |
| Side b | 7 |
| Included angle | 30 |
SAS triangle area 8.75 square units.
Assumptions and limits
- The two sides are positive and the included angle is strictly between 0 and 180 degrees.
- The angle is measured between the entered sides, not an opposite or exterior angle.
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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