
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 $\overline{XZ}$. If $\overline{XY} = 5$ cm and $\overline{YZ} = 12$ cm, calculate the following:
1. The length of median $\overline{YN}$.
2. The area of $\Delta XYZ$.

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