Question

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

Answer 1

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

$9-7=2$

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

$9+7=16$

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.