Which of the following is an example of the Triangle Inequality Theorem?(1 point)

Question

Responses

a+b>c, b+c>a, a+c>b
a+b>c, b+c>a, a+c>b

a−b<c, b−c<a, a−c<b
a−b<c, b−c<a, a−c<b

a+b<c, b+c<a, a+c<b
a+b<c, b+c<a, a+c<b

a−b>c, b−c>a, a−c>b

Answer 1

The correct response that exemplifies the Triangle Inequality Theorem is:

a+b>c, b+c>a, a+c>b

This theorem states that for any triangle with sides of lengths \(a\), \(b\), and \(c\), the sum of the lengths of any two sides must be greater than the length of the remaining side.