How to determine if the three sides make up a triangle

The video tutorial explains the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side. It provides an example to illustrate this concept, showing that a triangle with sides 2, 2, and 8 cannot exist. The tutorial then checks if given side lengths (7, 14, and 16) form a valid triangle, confirming they do. The video concludes with a brief mention of shortcuts, without further elaboration.

What new insight or understanding did you gain from this video?