
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
The vertices of a rectangle inscribed in a circle divide the circle into four arcs. Find the distances from the midpoint of one of the larger arcs to the vertices of the rectangle, given that its sides are 24 cm and 7 cm.

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