Answer: The value of x in centimeters is 9.
Step-by-step explanation: According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater than the third side. For each of the possible sides given, let's test this theorem:
6: 2 + 6 = 8. Since 8 is not greater than 8, this is not the answer.
9: 2 + 8 = 10. Since 10 is greater than 9, this is the answer.
10: 2 + 8 = 10. Since 10 is not greater than 10, this is not the answer.
12: 2 + 8 = 10. Since 10 is not greater than 12, this is not the answer.
Hope this helps!