1. **State the problem:** We need to determine if a triangle can have sides of lengths 11.4, 7.8, and 16.2. 2. **Recall the triangle inequality theorem:** For any triangle with sides $a$, $b$, and $c$, the following must be true: $$ a + b > c, \quad a + c > b, \quad b + c > a $$ 3. **Check each inequality:** - $11.4 + 7.8 = 19.2 > 16.2$ (True) - $11.4 + 16.2 = 27.6 > 7.8$ (True) - $7.8 + 16.2 = 24 > 11.4$ (True) 4. **Conclusion:** Since all inequalities hold, the sides 11.4, 7.8, and 16.2 can form a triangle.