
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
Bedgaiana constructs right angles, on the sides of which corresponding segments are laid out: $(3,4),(12,5),(15,8),(7,24),(12,35),(15,36)$. If the ends of the segments of each pair are connected, we obtain a series of right triangles. Calculate their hypotenuses.

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