
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
In △ABC, if AC⊥BC, AC=b, BC=a, then the radius of the circumcircle of △ABC is $$r= \frac { \sqrt {a^{2}+b^{2}}}{2}$$. Extend this conclusion to space, the correct conclusion is: In the tetrahedron S-ABC, if SA, SB, SC are pairwise perpendicular, SA=a, SB=b, SC=c, then the radius R of the circumscribed sphere of the tetrahedron S-ABC is _____.

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