1. **State the problem:** Determine if a triangle can be formed with side lengths 14.4, 11.9, and 4.8. 2. **Formula and rule:** For any triangle with sides $a$, $b$, and $c$, the triangle inequality must hold: $$a + b > c$$ $$a + c > b$$ $$b + c > a$$ This means the sum of any two sides must be greater than the third side. 3. **Check each inequality:** - $14.4 + 11.9 = 26.3 > 4.8$ (True) - $14.4 + 4.8 = 19.2 > 11.9$ (True) - $11.9 + 4.8 = 16.7 > 14.4$ (True) 4. **Conclusion:** Since all inequalities are true, the sides 14.4, 11.9, and 4.8 can form a triangle.