
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
A circle is constructed on one of the equal sides of an isosceles triangle as its diameter, dividing the other equal side into segments of length \(a\) and \(b\).

Find the base of the triangle.

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