
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 lengths of the diagonals $AC$ and $BD$ of a rhombus are 15 cm and 8 cm. The first diagonal is aligned along the $Ox$ axis, and the second along the $Oy$ axis. Formulate the equations of the sides of the rhombus and find the distance from the origin to a side of the rhombus.

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