well, it could either be 8, 8, 10
or 8, 10, 10
so which fits?
A. either 8 or 10
B. 6, only
C. 8, only
D. 10, only
or 8, 10, 10
so which fits?
In this case, the two known side lengths are 8 and 10. Let's determine the range of possible lengths for the third side:
1. If we assume the third side is equal to 8, then the sum of the two equal sides (8 and 8) is 16, which is greater than the remaining side of length 10. Therefore, having a third side length of 8 is possible.
2. If we assume the third side is equal to 10, then the sum of the two equal sides (8 and 8) is 16, which is equal to the remaining side of length 10. Therefore, having a third side length of 10 is possible.
Based on the above analysis, we can conclude that the length of the third side could be either 8 or 10. Therefore, the correct answer is A. either 8 or 10.