
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
In any triangle with sides \(a\), \(b\), and \(c\), where \(c\) is the largest side and \( \theta \) is the angle opposite to side \( c \), find the maximum value for \[\frac{a + b}{c}\] provided that \( \theta = 90^\circ \) or \( \theta < 90^\circ \).

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