Question

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

Answer 1

The answer choice which explains that the three segments cannot be used to construct a triangle is; AC + CB < AB.

Which inequality explains why the three segments cannot be used to construct a triangle?

Since, It follows from the triangle inequalities theorem that sum of the side lengths of any two sides of a triangle is greater than the length of the third side.

Hence, since the sum of sides AC + CB is less than AB, it follows that the required inequality is; AC + CB < AB.

Read more on triangle inequalities;

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