Special Right Triangles

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Presentation transcript:

Special Right Triangles GEOMETRY LESSON 7-3 Pages 369-372 Exercises 1. x = 8; y = 8 2 2. x = 2 ; y = 2 3. y = 60 2 4. x = 15; y = 15 5. 4 2 6. 9 7. 3 8. 6 2 9. 10 10. 14.1 cm 11. 25.5 ft 12. x = 20; y = 20 3 13. x = 3; y = 3 14. x = 5; y = 5 3 15. x = 24; y = 12 3 16. x = 4; y = 2 17. x = 4 3; y = 6 18. x = 9; y = 18 19. x = 3 3; y = 6 3 20. x = 5 3; y = 10 3 21. 43.3 cm2 22. 21.7 cm2 23. 101.8 m2 24. a = 7; b = 14; c = 7; d = 7 3 7-3

Special Right Triangles GEOMETRY LESSON 7-3 31. Answers may vary. Sample: A ramp up to a door is 12 ft long. It has an incline of 30°. How high off the ground is the door? sol.: 6 ft 32. a. 28 ft b. about 0.28 min 33. a. 8.5 m b. 3.1 m 34. 98 m2 25. a = 6; b = 6 2; c = 2 3; d = 6 26. a = 10 3; b = 5 3; c = 15; d = 5 27. a = 4; b = 4 28. a = 3; b = 7 29. a = 14; b = 6 2 30. Rika; Sandra marked the shorter leg as opposite the 60° angle. 35. 110.9 cm2 36. 288 ft2 37. 11.3 yd2 38. 31.2 m2 39. 23.4 units2 40. a. 3 units b. 2 3 units c. s 3 units 7-3

Special Right Triangles GEOMETRY LESSON 7-3 41. a. units2 b. A = c. 12 3 units2 42. A 43. C 44. D 45. D 3 h2 3 1 2 46. [2] a. Let a leg measure x. Then x2 = 16 and x = 4 2 m. b. The hypotenuse is 2 • leg, so 4 2 • 2 = 8 m. [1] incorrect calculation OR no explanation 47. 4 21 cm 48. 32 21 cm2 49. no 50. yes 51. no; an isosceles trapezoid 52. yes; AAS Thm. 53. no 54. no 55. yes; ASA Post. 7-3