
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 its lateral edges perpendicular to each other is called a "right-angled triangular pyramid". The lateral faces and the base of the triangular pyramid are referred to as the "right-angled faces and the slant face" of the right-angled triangular pyramid, respectively. The right-angled triangle has the property: "The sum of the squares of the lengths of the two right-angled sides equals the square of the length of the hypotenuse". By analogy, write down the property that the right-angled triangular pyramid possesses.

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