
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 with radius \(R\) passes through the vertex \(A\) of an isosceles triangle \(ABC\), is tangent to the base \(BC\) at point \(B\), and intersects the lateral side \(AC\) at point \(D\). Find the lateral side \(AB\), given that \(\frac{AD}{DX} = k\).

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