What is the SAS Triangle Calculator?
An online math tool on LeCalculators that solves sas triangle calculator problems with clear numeric results for study and everyday use.
SAS Triangle Calculator
Enter sides a and b with included angle C to find side c and the triangle area.
Enter SAS data
Sides a and b meet at angle C (the included angle).
About this calculator
How to use SAS Triangle Calculator, plus the formulas and logic behind the results.
Tool description
Applies the Law of Cosines for the third side and (1/2)ab sin C for area.
How to use
- Review the input fields and choose degrees or radians when asked.
- Enter the known values using consistent units.
- Select Calculate to view results.
- Adjust inputs and recalculate as needed.
Formulas & reference
c² = a² + b² − 2ab cos CArea = (1/2) ab sin C
Trig tips
- Confirm angle mode (degrees vs radians) before evaluating sin, cos, tan.
- Right-triangle tools assume a 90° angle between legs a and b.
- Triangle inequality: each side must be shorter than the sum of the other two.
Calculation logic
Converts C to radians, computes side c and area, then completes remaining angles via SSS.
Educational calculator. Floating-point rounding may differ slightly from textbook answers.
SAS Triangle Calculator FAQ
Common questions about this calculator and how to use the results.
Do I use degrees or radians?
Many trig tools include an angle mode selector. Match the mode to how your angle is written—degrees (°) or radians.
Why is my answer undefined or invalid?
Trig functions have domain limits (for example arcsin needs −1…1). Triangle tools also reject sides that violate the triangle inequality.
How precise are the results?
Results use floating-point math and are rounded for display with mathFormat. Tiny rounding differences vs hand calculation are normal.
Is this calculator free?
Yes. LeCalculators trigonometry tools are free to use in your browser with guides and FAQs on each page.
Can I use this for homework?
Yes—use it to check work. Always show your own steps when your teacher requires a written solution.