
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 $ABC$, sides $AB$ and $AC$ are $5$ inches and $8$ inches long, respectively. The median $AD$ from vertex $A$ to the midpoint of side $BC$ is $4.5$ inches. Calculate the length of side $BC$.
A) $\sqrt{89}$ inches
B) $\sqrt{92}$ inches
C) $\sqrt{97}$ inches
D) $\sqrt{101}$ inches

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