
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
Given that the surface area of a sphere is $20\pi$, there are three points A, B, and C on the surface of the sphere. If $AB=AC=2$ and $BC=2\sqrt{3}$, find the distance from the center of the sphere to the plane ABC.

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