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 formed.

Step2: Analyze each option

• Option 1: \(AC + AB>CB\) satisfies the triangle - inequality theorem and allows for triangle formation.
• Option 2: \(AC + CB
• Option 3: \(AC + CB>AB\) satisfies the triangle - inequality theorem and allows for triangle formation.
• Option 4: \(AC + AB

Answer:

B. \(AC + CB