Definition
The ambiguous case SSA occurs when two sides and a non-included angle are known in an oblique triangle.
Why It Matters
In navigation and surveying, the “ambiguous case” is a warning that the same set of measurements can lead to two different physical locations. Ignoring this ambiguity can result in catastrophic errors, such as a ship being miles away from where its instruments suggest.
Core Concepts
- Depending on side lengths and angle, the data may produce zero, one, or two possible triangles.
- This concept is part of the chapter-by-chapter synthesis from Trigonometry For Dummies.
- It should be merged with existing math notes if a stronger canonical note already exists.