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Geometry Name: _______________________ 5.5 Homework List the sides and angles of the triangle in order from least to greatest. Q 1. 2. S 5 3. M 5.1 B 4. 13 105 62 14 57 31 R 5.7 T Q R M 12 N A Sides: Sides: Sides: Sides: Angles: Angles: Angles: Angles: C Can these numbers be the length of the sides of a triangle? Show math to prove your answer, using the Triangle Inequality Theorem. Decide YES or NO for each. 5. 8, 9, 10 6. 1,1, 2 7. 6, 9, 8 8. 3, 4, 9 9. 12, 4, 17 10. 8, 7, 2 11. 14, 3, 9 12. 12, 18, 2 13. 3, 2, 1 In Exercises 14 – 19, the lengths of two sides of a triangle are given. What are the possible lengths for the third side? Between what two numbers? 14. 8, 5 15. ____ x _____ 17. 4, 13 ____ x _____ 9, 2 16. ____ x _____ 18. 27, 39 ____ x _____ 10, 10 ____ x _____ 19. 15, 6 ____ x _____ 20. Which of the following could be the length of ? X (a) (b) (c) (d) 12 4 14 21 4 18 Y Z 21. Isosceles triangle ABC has side lengths 15 and 6. What is the length of the third side? 22. Isosceles triangle XYZ has side lengths 31 and 14. What is the perimeter? 23. In triangle KLM, K 55 and L 40 . Which is the longest side of the triangle? 24. In ∆PQR, PQ = 8, QR = 7, RP = 15; then which is the largest angle? 25. In triangle NOP, N 95 and N O P . Which is the longest side of the triangle?