
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 circular plate lies on a square table. The distances from the edges of the plate to the edges of the table are shown in the picture (the image is not to scale). What is the distance from the edge of the plate to the lower edge of the table?

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