
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Without solving the triangle, determine the number of solutions for the following triangles:  
\\((1)a=5\\), \\(b=4\\), \\(A=120^{\\circ}\\);  
\\((2)a=7\\), \\(b=14\\), \\(A=150^{\\circ}\\);  
\\((3)a=9\\), \\(b=10\\), \\(A=60^{\\circ}\\).

Present the answer in LaTex format: \boxed{Your answer}
user