Law of Sines Calculator
Solve triangles from angles and a side.
Enter your values
Results update instantly as you type — no submit needed.
Results
- Side b
- 14.09965
- Side c
- 15.02714
- Angle C
- 75°
- Area
- 68.09606
- Circumradius
- 7.77862
Quick answer
The law of sines states that each side divided by the sine of its opposite angle is the same constant.
a/sin A = b/sin B = c/sin C
How to use the Law of Sines Calculator
- 1Enter two known angles in degrees.
- 2Enter the side opposite the first angle.
- 3Read the remaining sides and angle.
Frequently asked questions
What is the ambiguous case?
With two sides and a non-included angle, there may be two valid triangles.
What is the circumradius?
Half the common ratio a/sin A — the radius of the circle through all three vertices.