
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 $\triangle XYZ$, where $XY = 6$ cm, $YZ = 8$ cm, and $\angle XYZ = 90^\circ$, find the lengths of the median from vertex $X$ to the midpoint $W$ of side $YZ$, and also compute the length of $WZ$. Express your answers as decimals to the nearest tenth.

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