Question

Decide if the segments can make a triangle. Answer with Yes/No and explain your answer.
9: 8 cm, 12 cm, 16 cm
10: 5 in, 7 in, 20 in

Answer 1

9. Yes, since $8+12>16$, meaning the side lengths satisfy the triangle inequality.

10. No, since $5+7<20$, meaning the side lengths do not satisfy the triangle inequality.