Question

which inequality can be used to explain why these three segments cannot be used to construct a triangle? ac + ab > cb ac + cb < ab ac + cb > ab ac + ab < cb

Explanation:

Step1: Recall triangle - inequality theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. If this condition is not met, a triangle cannot be constructed.

Step2: Analyze the given options

We need to find the inequality that violates the triangle - inequality theorem. The correct form of the theorem for sides \(AB\), \(AC\), and \(CB\) of a triangle is \(AC + AB>CB\), \(AC + CB>AB\), and \(AB + CB>AC\). If \(AC + CB

Answer:

AC + CB < AB