
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 an obtuse triangle, the median from the vertex of the obtuse angle forms a right angle with one of the sides of the angle.

a) What relationship exists between the lengths of the three sides?

b) What relationship exists between the lengths of the three medians?

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