Apply the Triangle Inequality Theorem to determine whether sides with lengths of 4 inches, 8 inches, and 9 inches form a triangle.
A:No, all of the conditions are not met.
B:No, because two out of three conditions are met.
C:Yes, all of the conditions are met.
D:Yes, the majority of the conditions are met.
C: Yes, all of the conditions are met.
The Triangle Inequality Theorem states that 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, the sum of the lengths of the two shorter sides (4 inches and 8 inches) is 12 inches, which is greater than the length of the longest side (9 inches). Therefore, the given lengths form a triangle.