Triangle Starters

1. Pythagoras A | Answers Pythagoras B | B Answers Pythagoras C | C Answers Trigonometry A | A Answers Trigonometry B | B Answers Trigonometry C | C Answers Trigonometry D | D Answers Trigonometry E | E Answers Trigonometry F | F Answers Revision A | Revision A Answers Revision B | Revision B Answers Triangle Area | Triangle Area Answers Sine Rule A | Sine Rule A Answers Sine Rule B | Sine Rule B Answers Cosine Rule C | Cosine Rule C Answers Cosine Rule D | Cosine Rule D Answers Revision A | Revision A Answers Revision B | Revision B Answers Triangle Starters

2. Pythagoras A Calculate the unknown side lengths: 1) 2) ? ? 8mm 5m 15mm 6.4m 3) 4) 23cm 13m 17cm ? 12m ?

3. Pythagoras A Answers Calculate the unknown side lengths: 1) 2) ? ? 8mm 5m 15mm 6.4m 3) 4) 23cm 13m 17cm ? 12m ?

4. Pythagoras B 4) ? ? 6.4m 2.8m 3.7m Calculate the unknown lengths: 5.3m 1) 2) 6m 2.2m ? ? 1.2m 3) 10.5m ? 7.4m

5. Pythagoras B Answers 4) ? ? 6.4m 5.3m 10.5m ? 2.8m 3.7m 2.2m ? 7.4m Calculate the unknown lengths: 1) 2) 6m ? 1.2m 3)

6. Pythagoras C Calculate the unknown lengths: 1) 2) A B 8cm 8cm C 5cm 5cm 12cm 12cm 3) 2m D 10.5m 3m 5.2m

7. Pythagoras C Answers 10.5m Calculate the unknown lengths: 1) 2) A B 8cm 8cm C 5cm 5cm 12cm 12cm 3) 2m D 3m 5.2m

8. Trigonometry A 23˚ 51˚ 62˚ 44˚ Calculate the following (check your calculator is set to degrees) Sin 120˚ Cos 104˚ Tan 125˚ Sin 45˚ Cos 45˚ Tan 18˚ 4) 1) 5) 2) 6) 3) Label the triangle sides: Opposite ‘O’ Adjacent ‘A’ Hypotenuse ‘H’ 7) 8) 9) 10)

9. Trigonometry A Answers 23˚ 51˚ 62˚ 44˚ Calculate the following (check your calculator is set to degrees) Sin 120˚ Cos 104˚ Tan 125˚ Sin 45˚ Cos 45˚ Tan 18˚ 4) 1) 5) 2) 6) 3) Label the triangle sides: Opposite ‘O’ Adjacent ‘A’ Hypotenuse ‘H’ 7) 8) 9) 10)

10. Trigonometry B 39˚ 71˚ 41˚ Calculate the unknown side of the triangle 1) x 2) 120mm 3.5cm 32˚ x 4) 3) 240m x 8.8m x

11. Trigonometry B Answers 39˚ 71˚ 41˚ Calculate the unknown side of the triangle 1) x 2) 120mm 3.5cm 32˚ x 4) 3) 240m x 8.8m x

12. Trigonometry C Calculate the unknown distance 2) 1) x 1.4km x 31˚ 41˚ 16m 3) 4) 5.2m 75˚ x 6.7m 88˚ x

13. Trigonometry C Answers Calculate the unknown distance 2) 1) x 1.4km x 31˚ 41˚ 16m 3) 4) 5.2m 75˚ x 6.7m 88˚ x

14. Trigonometry D Calculate the unknown angles: 1) 2) 25mm α 8mm 5m α 6.4m 3) 4) 23cm 13m 17cm α α 12m

15. Trigonometry D Answers Calculate the unknown angles: 1) 2) 25mm α 8mm 5m α 6.4m 3) 4) 23cm 13m 17cm α α 12m

16. Trigonometry E Calculate the unknown angles 8m 2) 1) α 2.6m 6m 5m α 4) 3) α α 6.4m 2.3m 12m 9m

17. Trigonometry E Answers Calculate the unknown angles 8m 2) 1) α 2.6m 6m 5m α 4) 3) α α 6.4m 2.3m 12m 9m

18. Trigonometry F N E W S Calculate the unknown distances or angles 8km 4.5km 4) 1) Port 14km 5) 2) 3) 55˚ Port A yacht sails for 23km on a bearing of 233How far south of the port is the yacht now? α 6)

19. Trigonometry F Answers N E W S Calculate the unknown distances or angles 8km 4.5km 4) 1) Port 14km 5) 2) 3) 55˚ Port A yacht sails for 23km on a bearing of 233How far south of the port is the yacht now? α 6)

20. Revision A 2.1m 1.8m α x h x 35˚ 2.5cm 9.6m β 1.6m 9.4cm Find the tree height ‘h’ 1) Find the length ‘x’ and angle β 2) Find the length ‘x’ and angle α 3)

21. Revision A Answers 2.1m 1.8m α x h x 35˚ 2.5cm 9.6m β 1.6m 9.4cm Find the tree height ‘h’ 1) Find the length ‘x’ and angle β 2) Find the length ‘x’ and angle α 3)

22. Revision B Find the height ‘h’ 1) h 48˚ 11m Find the length ‘x’ and angle β 2) β x 1.9km 2.8km Find the length ‘y’ 3) y 63˚ 8.2m

23. Revision B Answers Find the height ‘h’ 1) h 48˚ 11m Find the length ‘x’ and angle β 2) β x 1.9km 2.8km Find the length ‘y’ 3) y 63˚ 8.2m

24. Area Find the Area of the triangle 1) 12m 42˚ 16m Find the Area of the triangle 2) 110km 55km 107˚ 80km Find the Area of the triangle 3) 46cm 52˚ 23˚ 18.6cm 105˚ 37.5cm

25. Area Answers Find the Area of the triangle 1) 12m 42˚ 16m Find the Area of the triangle 2) 110km 55km 107˚ 80km Find the Area of the triangle 3) 46cm 52˚ 23˚ 18.6cm 105˚ 37.5cm

26. Sine Rule A Find the length ‘L’ 1) 12m L 58˚ 38˚ Find the length ‘m’ 2) 73˚ m 65˚ 120km Find the length ‘n’ 3) 16cm 33˚ n 145˚

27. Sine Rule A Answer Find the length ‘L’ 1) 12m L 58˚ 38˚ Find the length ‘m’ 2) 73˚ m 65˚ 120km Find the length ‘n’ 3) 16cm 33˚ n 145˚

28. Sine Rule B Find Angle β 1) 45m 35m β 44˚ Find Angle θ 2) 66˚ 220km θ 290km Find Angle  3) 35m  25m 145˚

29. Sine Rule B Answers Find Angle β 1) 45m 35m β 44˚ Find Angle θ 2) 66˚ 220km θ 290km Find Angle  3) 35m  25m 145˚

30. Cosine Rule C Find length ‘x’ 1) 28m x 41˚ 32m Find length ‘y’ 2) 66˚ 120km 90km y Find length ‘z’ 3) z 35˚ 21˚ 28m 45m

31. Cosine Rule C Answers Find length ‘x’ 1) 28m x 41˚ 32m Find length ‘y’ 2) 66˚ 120km 90km y Find length ‘z’ 3) z 35˚ 21˚ 28m 45m

32. Cosine Rule D Find Angle β 1) 20m 18m β 22m Find Angle θ 2) 150km 90km θ 180km Find Angle  3) 65m  15m 51m

33. Cosine Rule D Answers Find Angle β 1) 20m 18m β 22m Find Angle θ 2) 150km 90km θ 180km Find Angle  3) 65m  15m 51m

34. Revision A Find Angle β 1) 30m β 28m Find Length ‘x’ 2) 150km x 41˚ 180km Find Angle  3) 30m  111˚ 28m

35. Revision A Answers Find Angle β 1) 30m β 28m Find Length ‘x’ 2) 150km x 41˚ 180km Find Angle  3) 30m  111˚ 28m

36. Revision B Find Angle θ 1) 30m 12m θ 24m Find Length ‘x’ 2) 224km x 62˚ 22˚ Find Length ‘y’ 3) 45m 11˚ y

37. Revision B Answers Find Angle θ 1) 30m 12m θ 24m Find Length ‘x’ 2) 224km x 62˚ 22˚ Find Length ‘y’ 3) 45m 11˚ y