
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 right $\Delta XYZ$, $\angle XYZ$ is a right angle. Point $N$ is the midpoint of $\overline{XZ}$. Side $XY$ is 5 cm and side $XZ$ is 12 cm. How long is the median $\overline{YN}$, and what is the perimeter of $\Delta XYZ$? Express your answers to the nearest tenth.

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