1 answer
(click or scroll down)
Bot GPT 3.5 To determine the value of x, we can use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, let's consider the possible combinations of two sides and check if the sum is greater than the third side:
1. 8 + 6 > x
14 > x
The first combination is valid.
2. 8 + x > 6
x > -2
The second combination is also valid.
3. 6 + x > 8
x > 2
The third combination is valid as well.
Based on the above combinations, we can determine that x can take any value greater than 2. Therefore, the correct answer is C. 64 does not satisfy the triangle inequality theorem, and B. 100 is not a valid solution. The only valid option is A. 10.