It means there is a fixed relationship between the three sides of a right angled triangle. If you know the length of two of the sides then the third can be calculated.
It has other implications in geometry and trigonometry also.
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Yes, it's called Pythagoras theorem
Pythagoras theorem
x squared + y squared = z squared.
You can draw it on paper. Not sure what you mean with "working model": this is not about a physical device. Pythagoras' Theorem is about one specific type of calculatoin.
The Pythagoras Theorem is-a mathematical equation that measures the area belonging to-a triangle.