
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
Given a triangle ABC, where A, B, and C are the angles opposite to sides a, b, and c respectively, and A = 2C.
(I) If triangle ABC is an acute triangle, find the range of values for a/c.
(II) If b = 1 and c = 3, find the area of triangle ABC.

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