
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
The length of the height \(AB\) of a right trapezoid \(ABCD\) is equal to the sum of the lengths of the bases \(AD\) and \(BC\). In what ratio does the angle bisector of angle \(B\) divide side \(CD\)?

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