
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
Consider a right triangle where the lengths of the medians from the vertices of the acute angles to the opposite sides are \(7\) and \(3\sqrt{13}\). Calculate the length of the hypotenuse.
A) \(3\sqrt{35}\)  
B) \(9\sqrt{13}\)  
C) \(3\sqrt{51}\)  
D) \(6\sqrt{13}\)  
E) None of the above

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