Apply the Triangle Inequality Theorem to determine whether sides with lengths of 4 inches, 8 inches, and 9 inches form a triangle. (1 point)
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, let's compare the three sides:
4 inches + 8 inches = 12 inches
12 inches is greater than 9 inches
8 inches + 9 inches = 17 inches
17 inches is greater than 4 inches
4 inches + 9 inches = 13 inches
13 inches is greater than 8 inches
Since the sum of the lengths of any two sides is greater than the length of the third side in all cases, the sides with lengths of 4 inches, 8 inches, and 9 inches do form a triangle.