A) Yes
To determine if these lengths can form a triangle, let's apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So, we check:
1. ( 10.5 + 8.0 > 4.0 ) - True
2. ( 10.5 + 4.0 > 8.0 ) - True
3. ( 8.0 + 4.0 > 10.5 ) - True
Since all three conditions are true, the given lengths can indeed form a triangle. So, the answer is A) Yes.
