To apply the Triangle Inequality Theorem, we need to check if the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Let's check the three possible combinations:
1) 4 inches + 8 inches = 12 inches. Since 12 inches is greater than 9 inches, this combination satisfies the Triangle Inequality Theorem.
2) 4 inches + 9 inches = 13 inches. Since 13 inches is also greater than 8 inches, this combination satisfies the Triangle Inequality Theorem.
3) 8 inches + 9 inches = 17 inches. Since 17 inches is greater than 4 inches, this combination satisfies the Triangle Inequality Theorem.
Since all three combinations satisfy the Triangle Inequality Theorem, we can conclude that the sides with lengths of 4 inches, 8 inches, and 9 inches do form a triangle.
Apply the Triangle Inequality Theorem to determine whether sides with lengths of 4 inches, 8 inches, and 9 inches form a triangle.
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