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

Answer 1

The response option that demonstrates why the three segments cannot be combined to form a triangle is AC + CB< AB.

What is triangle inequalities?

According to the triangle inequality, the length of any two sides of a triangle added together must be longer than the length of the third side. Since a straight line is the shortest distance between two places, this conclusion follows. If the triangle isn't degenerate, the inequality is strict (meaning it has a non-zero area).

Which inequality explains why a triangle cannot be made from the three segments?

Since the length of any two sides of a triangle added together is longer than the length of the third side, it follows from the triangle inequalities theorem that this is the case.

As a result, the necessary inequality is AC + CB AB because the sum of sides AC + CB is less than AB.

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I understand that question you are looking for is:

Which inequality can be used to explain why these three segments cannot be used to construct a triangle?

A. AC + AB > CB

B. AC + CB < AB

C. AC + CB > AB

D. AC + AB < CB