www.mathworksheetsgo.com I. Model Problems. II. hoosing the orrect Formula III. Mied Problems (using the formulas twice) III. hallenge questions IV. nswer Key Web Resources Video eplanation of Law of osines with additional practice problems Law of osines: www.mathwarehouse.com/lawofcosines Law of Sines: www.mathwarehouse.com/law-of-sines mbiguous ase of Law of Sines : www.mathwarehouse.com/ambiguous-case We Recommend Meta alculator- Free Graphing alculator www.mathworksheetsgo.com ll Rights Reserved ommercial Use Prohibited Terms of Use: y downloading this file you are agreeing to the Terms of Use escribed at http://www.mathworksheetsgo.com/downloads/terms-of-use.php.
Law of Sines and Law of osines Law of Sines: or Law of osines: Law of osines is the best choice if: ase1: The length of all three sides of a triangle are know and you are trying to find an angle: 7 12 ase 2: 5 Two sides and an enclosed angle are know and you are trying to find the side opposite the angle: 13 24 87 Law of Sines is the best choice if: ase 3: Two sides and an angle opposite one of those sides is know and you are trying to find the other angle(s): 49 115 ase 4: 16 Two angles and one side are known and your are trying to find the missing side(s): 22 15 48 In general Law of Sines is easier to use so always check to see if you can use it first.
II. etermine whether the Law of osines or the Law of Sines is the best choice. 1. State whether the Law of Sines or Law of osines is the best choice to solve for for 2. State whether the Law of Sines or Law of osines is the best choice to solve for for 112 12 16 87 15 25 3. State whether the Law of Sines or Law of osines is the best choice to solve for for 4. State whether the Law of Sines or Law of osines is the best choice to solve for for 30 37 42 100 56 55 5. State whether the Law of Sines or Law of osines is the best choice to solve for for 6. State whether the Law of Sines or Law of osines is the best choice to solve for for 40 108 20 22 135 31
7. State whether the Law of Sines or Law of osines is the best choice to solve for for 8. State whether the Law of Sines or Law of osines is the best choice to solve for for 52 40 For find the length of b to the nearest hundredth, given, and. 50 32 9. State whether the Law of Sines or Law of osines is the best choice to solve for for For,,, and. Find h to the nearest whole number. 10. State whether the Law of Sines or Law of osines is the best choice to solve for for For find the length of to the nearest whole degree, given, and. III. Use the Law of Sines and Law of osines to find missing dimensions. 11. Find the missing dimensions of the triangle below. Round your answers to the nearest whole number. E 138 8 F 12. Find the to the nearest whole degree. 19 120 15 20 19 13. Find the missing dimensions of the triangle below. Round your answers to the nearest whole number. 47 124 56 14. Find the f to the nearest whole number. E f 62 36 71 F
15. Find the to the nearest whole number. 16. Find the to the nearest whole degree. X 12 Y 148 25 Z 42 120 16 IV. hallenge Problems 17. Find the to the nearest whole degree. 35 25 118 12 18. Find the to the nearest whole degree. 30 35 E 120 G 20 F 19. Find the to the nearest whole degree.
5 47 45 6 5 20. Find the angle measurements of all angles in the triangle below to the nearest whole degree. 14 17 19
III. nswer Key 1. Law of Sines 2. Law of osines 3. Law of osines 4. Law of Sines 5. Law of Sines 6. Law of osines 7. Law of Sines 8. Law of osines 9. Law of Sines 10. Law of osines 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. No solution- no figure with these dimensions can be constructed 21.