Question 11 of 11A triangle has two sides of length 7 and 9. What value could the length of thethird side be? Check all that apply.A. 2B. 100 C. 8D. 22I E. 5I F. 13

Question 11 of 11A triangle has two sides of length 7 and 9 What value could the length of thethird side be Check all that applyA 2B 100 C 8D 22I E 5I F 13 class=

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Answer: B, C, E, and F

To create a triangle, the sum of the two shorter sides should be greater than the third side.

Let's say 9 is the longest side, then the third side would be greater than

[tex]9-7=2[/tex]

If we let the third side be the longest side, then its length would be less than

[tex]9+7=16[/tex]

Therefore the values that we are looking for are values greater than 2 but are less than 16 (2 < x < 16) and from the choices, these are 10, 8, 5, and 13.