1. The problem asks if a triangle can have sides of lengths 0.8, 6.9, and 7.7. 2. To determine this, we use the Triangle Inequality Theorem, which states that for any triangle with sides $a$, $b$, and $c$, the following must be true: $$a + b > c$$ $$a + c > b$$ $$b + c > a$$ 3. Let's check each inequality with the given side lengths: - $0.8 + 6.9 = 7.7$, which is **not greater** than 7.7 (it is equal). - $0.8 + 7.7 = 8.5$, which is greater than 6.9. - $6.9 + 7.7 = 14.6$, which is greater than 0.8. 4. Since the first inequality $0.8 + 6.9 > 7.7$ is not true (it's equal, not greater), these side lengths **cannot** form a triangle. **Final answer:** No, the sides 0.8, 6.9, and 7.7 cannot form a triangle.