1. **State the problem:** We need to determine if a triangle can have sides of lengths 6.2, 10.8, and 15.8. 2. **Recall the triangle inequality theorem:** For any triangle with sides $a$, $b$, and $c$, the sum of the lengths of any two sides must be greater than the length of the remaining side. That is: $$ a + b > c, \quad a + c > b, \quad b + c > a $$ 3. **Check each inequality:** - $6.2 + 10.8 = 17.0 > 15.8$ (True) - $6.2 + 15.8 = 22.0 > 10.8$ (True) - $10.8 + 15.8 = 26.6 > 6.2$ (True) 4. **Conclusion:** Since all three inequalities hold true, the side lengths 6.2, 10.8, and 15.8 can form a triangle.