
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 $\triangle ABC$ where the sides opposite to $\angle A, \angle B, \angle C$ are $a, b, c$ respectively, and $a^{2} = b(b+c)$ with $\angle C$ an obtuse angle, determine the size relationship between $a, 2b, c$.

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