03.03d General Triangles DBA X W law_of_sines_and_cosines_websit x + ctpc.weebly.com/uploads/5/6/7/6/56769969/law_of_smes_and_cosines_website.pdf Law of Sines and Law of Cosines Law of Sines: b sin a sin b - or sing sin a sin b sinc Law of Cosines: a? = b= + c? - 2bc cos A Law of Cosines is the best choice if: Casel: The length of all three sides of a triangle are know and you are trying to find an angle: Case 2: Two sides and an enclosed angle are know and you are trying to find the side opposite the angle: 13 87" Law of Sines is the best choice if: O O Case 3: Two sides and an angle opposite one of those sides is know and you are trying to find the other angle(s):03.03d General Triangles DBA W/law_of sines and_cosines webs X rojectpc.weebly.com/uploads/5/6/7/6/56769969/law_of_smes_and_cosines_website.pdf (T) 13 87 24 Law of Sines is the best choice if: Case 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 16 Case 4: Two angles and one side are known and your are trying to find the missing side(s): 15 48 In general Law of Sines is easier to use so always check to see if you can use it first.rojectpc.weebly.com/uploads/5/6/7/6/56769969/law_of_smes_and_cosines_website.pdf T A II. Determine whether the Law of Cosines or the Law of Sines is the best choice. 1. State whether the Law of Sines or Law of 2. State whether the Law of Sines or Law of Cosines is the best choice to solve for x for Cosines is the best choice to solve for x for the given figure. Substitute the values into the given figure. Substitute the values into the appropriate formula (do not solve). the appropriate formula (do not solve). 1120 12 25 3. State whether the Law of Sines or Law of 4. State whether the Law of Sines or Law of Cosines is the best choice to solve for x for Cosines is the best choice to solve for x for the given figure. Substitute the values into the given figure. Substitute the values into . the appropriate formula (do not solve). the appropriate formula (do not solve). 37 100 56 X 30 42 55 503.03d General Triangles DBA x W law_of sines_and cosines_webs x ojectpc.weebly.com/uploads/5/6/7/6/56769969/law_of_smes_and_cosines_website.pdf T 30 55 5. State whether the Law of Sines or Law of 6. State whether the Law of Sines or Law of Cosines is the best choice to solve for x for Cosines is the best choice to solve for x for the given figure. Substitute the values into the given figure. Substitute the values into the appropriate formula (do not solve). the appropriate formula (do not solve). 40 31 1350 20 108 22projectpc.weebly.com/uploads/5/6/7/6/56769969/law_of_smes_and_cosines_website.pdf LD A T D 7. State whether the Law of Sines or Law of 8. State whether the Law of Sines or Law of Cosines is the best choice to solve for x for Cosines is the best choice to solve for x for the given figure. Substitute the values into the given figure. Substitute the values into the appropriate formula (do not solve). the appropriate formula (do not solve). For AABC find the length of b to the nearest X hundredth, given a = 17, c = 34, and 52 40 mLB = 94. 50 32 9. State whether the Law of Sines or Law of 10. State whether the Law of Sines or Law of Cosines is the best choice to solve for x for Cosines is the best choice to solve for x for the given figure. Substitute the values into the given figure. Substitute the values into the appropriate formula (do not solve). the appropriate formula (do not solve). For AHJK, / = 31, mZH = 1320, For AXYZ find the length of mZY to the mz/ = 210, and mZK = 270. Find h to nearest whole degree, given x - 6, y = 9, the nearest whole number. and z = 12. III. Use the Law of Sines and Law of Cosines to find missing dimensions.X 03.03d General Triangles DBA X W law_of sines_and_cosines_webs x eniorprojectpc.weebly.com/uploads/5/6/7/6/56769969/law of_smes_and_cosines_website.pdf T A the nearest whole number. and z = 12. III. Use the Law of Sines and Law of Cosines to find missing dimensions. 1 1. Find the missing dimensions of the triangle 12. Find the mcC to the nearest whole degree. below. Round your answers to the nearest whole number. 19 B 120 15 138 20 19 13. Find the missing dimensions of the triangle 14. Find the f to the nearest whole number. below. Round your answers to the nearest whole number. B 47 124 56 62 36x 03.03d General Triangles DBA X W law_of_sines_and_cosines_webs x orprojectpc.weebly.com/uploads/5/6/7/6/56769969/law_of_smes_and_cosines_website.pdf + CB A T 15. Find the x to the nearest whole number. 16. Find the my A to the nearest whole degree. C 12 148 X 16 42 1209 X 25 B IV. Challenge Problems 17. Find the my A to the nearest whole degree. 35 25 118 D - 12https://seniorprojectpc.weebly.com/uploads/5/6/7/6/56769969/1 web 18. Find the m_DGF to the nearest whole degree. 20 30 120 G 35 19. Find the my ABD to the nearest whole degree. search03.03d General Triangles DBA X W law_of sines_and_cosines_websit x + ectpc.weebly.com/uploads/5/6/7/6/56769969/law_of_smes_and_cosines_website.pdf Q [ ADV 45 20. Find the angle measurements of all angles in the triangle below to the nearest whole degree. 17 14 19