The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is B, AC + CB < AB.
What is the triangle inequality theorem?
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
(a+b) > c
(b+c) > a
(c+a) > b
In order to find the inequality that can be used to explain why these three segments cannot be used to construct a triangle, we need to use the triangle inequality theorem.
Therefore, the inequality that can be used to explain why these three segments cannot be used to construct a triangle is AC + CB < AB. This is because as per the triangle inequality theorem, the sum of the two sides should be greater than the third side.
Hence, the inequality that can be used to explain why these three segments cannot be used to construct a triangle is AC + CB < AB.
Learn more about the Triangle Inequality Theorem:
https://brainly.com/question/342881
#SPJ6