
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
A right triangle has sides 3, 4, and 5. Calculate the distance from the midpoint of the hypotenuse to one of the triangle's vertices and the circumradius of the triangle.

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