
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 triangular pyramid with perpendicular lateral edges is called a "right triangular pyramid." In a right triangular pyramid, the lateral faces and the base face are referred to as the "right faces and oblique faces," respectively; the cross-sections that pass through the vertex of the triangular pyramid and the midpoints of any two sides on the oblique face are called the "mid-sections" of the oblique face. Please generalize the following property of a right triangle: the length of the median to the hypotenuse is equal to half the length of the hypotenuse; to write out the corresponding property of a right triangular pyramid:     .

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