Apply the Triangle Inequality Theorem to determine whether sides with lengths of 3 inches, 4 inches, and 9 inches form a triangle
To apply the Triangle Inequality Theorem, we need to check if the sum of the lengths of any two sides is greater than the length of the third side.
Let's denote the sides as a = 3 inches, b = 4 inches, and c = 9 inches. According to the Triangle Inequality Theorem:
a + b > c
3 + 4 > 9
7 > 9
Since 7 is not greater than 9, this inequality is not satisfied.
Thus, the lengths of 3 inches, 4 inches, and 9 inches do not form a triangle.