1. The problem asks if the lengths 4.1 cm, 8.4 cm, and 1.3 cm can form a triangle. 2. To determine this, we use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. 3. Check the inequalities: - $4.1 + 8.4 > 1.3$ which simplifies to $12.5 > 1.3$ (True) - $4.1 + 1.3 > 8.4$ which simplifies to $5.4 > 8.4$ (False) - $8.4 + 1.3 > 4.1$ which simplifies to $9.7 > 4.1$ (True) 4. Since one inequality is false, these lengths cannot form a triangle. Final answer: No, these side lengths cannot form a triangle.