Which statement can verify the Triangle Inequality Theorem?

Question

(1 point)
• An exterior angle is equal to its
two remote interior angles.
The formula a? + 62 = 22 will
• find the length of the third side of any triangle.
The three angles of a triangle
• will always amount to 180 degrees.
The sum of any two sides of a
• triangle is greater than the

Answer 1

The statement that verifies the Triangle Inequality Theorem is:

The sum of any two sides of a triangle is greater than the length of the third side.

This theorem states that for any triangle with sides of lengths \(a\), \(b\), and \(c\), the following inequalities must hold:

1. \(a + b > c\)
2. \(a + c > b\)
3. \(b + c > a\)

These conditions ensure that the three lengths can actually form a triangle.