Question

Consider the cases SSS, AAS, ASA, SAS, and SSA. For which of these cases are you unable to solve the triangle using only the Law of Sines?

Answer 1

• SSS and SAS

Explanation:

To use the law of sines we need to know two angles and one side or two sides and one angle which should be opposite to one of known sides.

• SSS - unable to solve as no angle is known
• AAS - two angles and non-included side, able to find the missing angle solve the rest
• ASA - two angles and the included side, able to find the missing angle solve the rest
• SAS- two sides and the included angle, unable to solve
• SSA - two sides and non-included angle, able to find the other angles and solve fully