Why Is Ssa an Ambiguous Case?

The “Ambiguous Case” (SSA) occurs when we are given two sides and the angle opposite one of these given sides. The triangles resulting from this condition needs to be explored much more closely than the SSS, ASA, and AAS cases, for SSA may result in one triangle, two triangles, or even no triangle at all!

Why can the SSA case result in zero one or two triangles?

When using the law of sines, why can the SSA case result in zero, one, or two triangles? ... When the third side of the triangle is too short to intersect the other side, no triangles can be formed. When the third side is just long enough to meet the other side at one point, one triangle is formed.

Is SSS an ambiguous case?

The side-side-side (SSS) example is one way to prove congruence. ... You may have noticed that with side-side-angle (SSA), that is not the case, which leaves the triangle unclear, or ambiguous.

Robert Thorne

Robert Thorne

Automotive & Future Transportation Editor

Robert Thorne covers electric vehicle innovations, autonomous driving systems, global mobility trends, and automotive engineering developments.