Given: 
How to solve the triangle: 
Triangle with a 90° angle 
Use the definitions of sine, cosine or tangent on the right triangle. 
three angles only (AAA) 
There's not enough information. There are an infinite number of triangles with these angles. 
three sides only (SSS) 
 Use the Law of Cosines to compute one angle (one of the smaller angles).
 Use that angle and its opposite side in
the Law of Sines to find the second angle (one of the smaller angles).
 Find the third (i.e., largest) angle by subtracting the two angles from 180°.

two angles and a side (AAS) or (ASA) 
 Find the third angle by subtracting from 180°.
 Use the Law of Sines twice
to find the second and third sides.

two sides and the included angle (SAS) 
 Use the Law of Cosines to find the third side.
 Then use either the Law of Sines
or the Law of Cosines to find the second angle (one of the smaller angles).
 Find the third (i.e., largest) angle by subtracting the two angles from 180°.

two sides and the nonincluded angle (SSA) 
 Use the Law of Sines twice to get the second angle and the third side.
NOTE: This
case may have no solutions, one solution, or two solutions! 