
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 the following diagram, two lines that meet at a point \( A \) are tangent to a circle at points \( B \) and \( C \). The line parallel to \( AC \) passing through \( B \) meets the circle again at \( D \). Join the segments \( CD \) and \( AD \). Suppose \( AB = 49 \) and \( CD = 28 \). Determine the length of \( AD \).

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