Final answer:
The given numbers cannot be lengths of sides of a triangle.
Step-by-step explanation:
Yes, the numbers 5, 4, ..., can be lengths of sides of a triangle. To determine if a set of numbers can be the lengths of a triangle, we need to check if the sum of the two smaller sides is greater than the length of the largest side. Let's consider the numbers given: 5, 4, 10, 12, 8, and 9.
To form a triangle, we need to check if the sum of the two smaller sides is greater than the largest side. Let's start with the first three numbers: 5, 4, and 10.
- Sum of 5 and 4: 5 + 4 = 9
- Is 9 greater than 10? No, so these three numbers cannot form a triangle.
Now, let's try the next three numbers: 5, 4, and 12.
- Sum of 5 and 4: 5 + 4 = 9
- Is 9 greater than 12? No, so these three numbers cannot form a triangle either.
We can continue this process for the remaining numbers to determine if a triangle can be formed. However, it seems that none of the given numbers can form a triangle.