Solutions to Odd-Numbered Exercises

1. two sides and the angle opposite the missing side

3. [latex]s[/latex] is the semi-perimeter, which is half the perimeter of the triangle.

5. The Law of Cosines must be used for any oblique (non-right) triangle.

7. 11.3

9. 34.7

11. 26.7

13. 257.4

15. not possible

17. 95.5°

19. 26.9°

21. [latex]B\approx 45.9^\circ ,C\approx 99.1^\circ ,a\approx 6.4[/latex]

23. [latex]A\approx 20.6^\circ ,B\approx 38.4^\circ ,c\approx 51.1[/latex]

25. [latex]A\approx 37.8^\circ ,B\approx 43.8,C\approx 98.4^\circ[/latex]

27. 177.56 in2

29. 0.04 m2

31. 0.91 yd2

33. 3.0

35. 29.1

37. 0.5

39. 70.7°

41. 77.4°

43. 25.0

45. 9.3

47. 43.52

49. 1.41

51. 0.14

53. 18.3

55. 48.98

57.

59. 7.62

61. 85.1

63. 24.0 km

65. 99.9 ft

67. 37.3 miles

69. 2371 miles

71.

73. 599.8 miles

75. 65.4 cm2

77. 468 ft2