Solutions for Non-Right Triangles: Law of Cosines
Solutions to Try Its
1. [latex]a\approx 14.9,\beta \approx 23.8^\circ ,\gamma \approx 126.2^\circ [/latex]. 2. [latex]\alpha \approx 27.7^\circ ,\beta \approx 40.5^\circ ,\gamma \approx 111.8^\circ [/latex] 3. Area = 552 square feet 4. about 8.15 square feetSolutions 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 ft2Licenses & Attributions
CC licensed content, Specific attribution
- Precalculus. Provided by: OpenStax Authored by: OpenStax College. Located at: https://cnx.org/contents/[email protected]:1/Preface. License: CC BY: Attribution.
