
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 parallelogram \(ABCD\) has a perimeter of \(35 \text{ cm}\), and the angle bisectors at vertices \(A\) and \(B\) intersect at a point \(O\) outside the quadrilateral. Calculate the sides of the parallelogram, given that the side \(DC\) divides the segment \(AO\) into two equal parts.

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