
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]


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In planar geometry, given a right-angled triangle $\text{SAB}$ with two sides $\text{SA}$ and $\text{SB}$ perpendicular to each other, where $\text{SA}=a$ and $\text{SB}=b$, the height $h$ on the side $\text{AB}$ is $h=\frac{ab}{\sqrt{a^2+b^2}}$. Extending this concept to three-dimensional space, if the three lateral edges $\text{SA}$, $\text{SB}$, and $\text{SC}$ of a triangular pyramid $\text{S-ABC}$ are pairwise perpendicular with $\text{SA}=a$, $\text{SB}=b$, and $\text{SC}=c$, the distance $h'$ from point $\text{S}$ to the plane $\text{ABC}$ is $h'=$ \_\_\_\_\_\_.

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