SSA Triangle Calculator
Solve the law of sines ambiguous case effortlessly with our SSA triangle solver. Accurate, fast, and reliable. Start calculating now!
Solved for side b8.573214
Sides7, 8.573214, 9.562178
Angles45°, 60°, 75°
Common ratio9.899495equals the circumdiameter
Area28.983811
Perimeter25.135392
The formula
a ÷ sin A = b ÷ sin B = c ÷ sin C
The ambiguous case
Given two sides and a non-included angle (SSA), there can be two valid triangles: arcsin returns an acute angle, but its supplement often works too. If you solved for an angle above, check whether 180° − B also gives a valid triangle — it usually does when the side opposite the known angle is the shorter one.