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The segments shown below could form a triangle. AC=7 CB=9 BA=13.
A.) True
B.) False

1 Answer

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Final answer:

The segments AC = 7, CB = 9, and BA = 13 can form a triangle.

Step-by-step explanation:

The given segments AC = 7, CB = 9, and BA = 13. To determine if they can form a triangle, we need to check if the sum of the lengths of any two sides is greater than the length of the third side.

Using the triangle inequality theorem, we have:

AC + CB > BA

7 + 9 > 13

16 > 13

Since this inequality is true, the segments AC, CB, and BA can form a triangle.

A.) True

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