Question

In which case(s) of given information can the law of sines not be used to solve for the remaining parts of the triangle?

Select all that apply

SSS

SSA

SAS

ASA

AAS

Answer 1

SSS and SAS.

Reason: the law of sines requires at least one known angle together with its opposite side (an angle–side pair). In SSS no angle is given; in SAS the given angle is between the known sides so its opposite side is unknown. (ASA and AAS work directly with the law of sines; SSA can be solved by the law of sines but may be the ambiguous case.)