Solve triangles using the sine law (law of sines). Calculate unknown sides and angles, handle ambiguous cases, and get step-by-step solutions with detailed explanations.
Sine Law Calculator
Enter known sides and angles to solve the triangle
Current Setup:
Triangle ABC: a=?, b=?, c=?, A=?°, B=?°, C=?°
Side a is opposite angle A, side b is opposite angle B, side c is opposite angle C
Sine Law Formula
sinAa=sinBb=sinCc=2R
When to use:
AAS: Two angles and one non-included side
ASA: Two angles and the included side
SSA: Two sides and one angle opposite (ambiguous case)
Ambiguous Case (SSA): May have 0, 1, or 2 solutions
Related Resources
Sine Law Applications
Key Points:
• SSA case may have 0, 1, or 2 solutions
• AAS and ASA cases always have unique solutions
• Sine law works for all triangle types
• The common ratio equals the diameter of circumcircle