
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 respectively of lengths $6$ inches and $9$ inches. The median $XM$ is $4$ inches. Determine the length of side $YZ$.
A) $\sqrt{150}$ inches
B) $\sqrt{160}$ inches
C) $\sqrt{170}$ inches
D) $\sqrt{180}$ inches

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