SAS Triangle Area Calculator
Result
SAS Triangle Area Calculator Find the area of a triangle from two sides and the angle between them (the side-angle-side, or SAS, case) using Area = ½ × a × b × sin(C). Enter the two side lengths and the included angle in degrees, and the calculator return — free online calculator.
Formula
- Triangle area from SAS calculator. Apply the geometric relationship below and use the worked example to verify the setup.
- The main inputs are Side a, Side b, Included Angle C. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: SAS Triangle Area
- Side a: 8
- Side b: 6
- Included Angle C: 50 degrees
For a=5, b=7, C=30°: A=8.75.
Sample result: Calculating…
Frequently asked questions
What does the SAS Triangle Area calculate?
C must be the included angle between sides a and b.
Which values should I enter?
Enter Side a, Side b, Included Angle C using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Area=a×b×sin(C°)/2.
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.