{"id":1416,"date":"2023-06-05T14:51:31","date_gmt":"2023-06-05T14:51:31","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/chapter\/solutions-for-non-right-triangles-law-of-cosines\/"},"modified":"2023-06-05T14:51:31","modified_gmt":"2023-06-05T14:51:31","slug":"solutions-for-non-right-triangles-law-of-cosines","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/chapter\/solutions-for-non-right-triangles-law-of-cosines\/","title":{"raw":"Solutions 58: Non-Right Triangles: Law of Cosines","rendered":"Solutions 58: Non-Right Triangles: Law of Cosines"},"content":{"raw":"\n

Solutions to Odd-Numbered Exercises<\/h2>\n1. two sides and the angle opposite the missing side\n\n3. [latex]s[\/latex] is the semi-perimeter, which is half the perimeter of the triangle.\n\n5. The Law of Cosines must be used for any oblique (non-right) triangle.\n\n7. 11.3\n\n9. 34.7\n\n11. 26.7\n\n13. 257.4\n\n15. not possible\n\n17. 95.5\u00b0\n\n19. 26.9\u00b0\n\n21. [latex]B\\approx 45.9^\\circ ,C\\approx 99.1^\\circ ,a\\approx 6.4[\/latex]\n\n23. [latex]A\\approx 20.6^\\circ ,B\\approx 38.4^\\circ ,c\\approx 51.1[\/latex]\n\n25. [latex]A\\approx 37.8^\\circ ,B\\approx 43.8,C\\approx 98.4^\\circ [\/latex]\n\n27. 177.56 in2\n\n29. 0.04 m2\n\n31. 0.91 yd2\n\n33. 3.0\n\n35. 29.1\n\n37. 0.5\n\n39. 70.7\u00b0\n\n41. 77.4\u00b0\n\n43. 25.0\n\n45. 9.3\n\n47. 43.52\n\n49. 1.41\n\n51. 0.14\n\n53. 18.3\n\n55. 48.98\n\n57.\n\"A\n\n59. 7.62\n\n61. 85.1\n\n63. 24.0 km\n\n65. 99.9 ft\n\n67. 37.3 miles\n\n69. 2371 miles\n\n71.\n\"Angle\n\n73. 599.8 miles\n\n75. 65.4 cm2\n\n77. 468 ft2\n","rendered":"

Solutions to Odd-Numbered Exercises<\/h2>\n

1. two sides and the angle opposite the missing side<\/p>\n

3. [latex]s[\/latex] is the semi-perimeter, which is half the perimeter of the triangle.<\/p>\n

5. The Law of Cosines must be used for any oblique (non-right) triangle.<\/p>\n

7. 11.3<\/p>\n

9. 34.7<\/p>\n

11. 26.7<\/p>\n

13. 257.4<\/p>\n

15. not possible<\/p>\n

17. 95.5\u00b0<\/p>\n

19. 26.9\u00b0<\/p>\n

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

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

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

27. 177.56 in2<\/p>\n

29. 0.04 m2<\/p>\n

31. 0.91 yd2<\/p>\n

33. 3.0<\/p>\n

35. 29.1<\/p>\n

37. 0.5<\/p>\n

39. 70.7\u00b0<\/p>\n

41. 77.4\u00b0<\/p>\n

43. 25.0<\/p>\n

45. 9.3<\/p>\n

47. 43.52<\/p>\n

49. 1.41<\/p>\n

51. 0.14<\/p>\n

53. 18.3<\/p>\n

55. 48.98<\/p>\n

57.
\n\"A<\/p>\n

59. 7.62<\/p>\n

61. 85.1<\/p>\n

63. 24.0 km<\/p>\n

65. 99.9 ft<\/p>\n

67. 37.3 miles<\/p>\n

69. 2371 miles<\/p>\n

71.
\n\"Angle<\/p>\n

73. 599.8 miles<\/p>\n

75. 65.4 cm2<\/p>\n

77. 468 ft2<\/p>\n\n\t\t\t

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Candela Citations<\/h3>\n\t\t\t\t\t
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