
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 sphere with center $O$ has a radius of $10$. A triangle with sides of lengths $13, 14,$ and $15$ is positioned in space such that each of its sides is tangent to the sphere. Calculate the distance from $O$ to the plane of the triangle.
A) $2\sqrt{13}$ 
B) $2\sqrt{21}$ 
C) $2\sqrt{15}$ 
D) $2\sqrt{19}$

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