
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 $XYZ$, sides $XY$ and $XZ$ are $6$ inches and $9$ inches respectively. The median $XM$ (from vertex $X$ to the midpoint of $YZ$) is $4$ inches. Determine the length of side $YZ$.
**A)** $13$ inches  
**B)** $14$ inches  
**C)** $\sqrt{170}$ inches  
**D)** $15$ inches

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