The statement that can verify the Triangle Inequality Theorem is:
The sum of any two sides of a triangle is greater than the length of the third side.
This statement directly expresses the Triangle Inequality Theorem, which states that for any triangle with sides of lengths \( a \), \( b \), and \( c \), the following inequalities must hold:
- \( a + b > c \)
- \( a + c > b \)
- \( b + c > a \)