
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 $PQR$, side $PQ$ has a length of $5$ inches, and side $PR$ is $8$ inches. The median $PM$ from vertex $P$ to the midpoint of side $QR$ is $5$ inches. Find the length of side $QR$.
A) $\sqrt{50}$ inches
B) $9$ inches
C) $\sqrt{78}$ inches
D) $10$ inches

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