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For triangle ABC, we are given that mC : 31.3o , AC : 26 in, and BC : 10.6 in. We can use the Law

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For triangle ABC, we are given that mC : 31.3o , AC : 26 in, and BC : 10.6 in. We can use the Law of Cosines, Law of Sines, and other properties of triangles to determine all of the missing informatiori. Note that the diagram may not be drawn to scale. B 10.6 in A 26 in C Determine all of the missing information about this triangle. a. AB = $ t inches Preview $= undened. 3 Try again. The rst step in the process is to set up the formula c2 = a2 + b2 2ab - cos (mAC') and then insert the known information from the triangle. Also, if you enter a trigonometric expression make sure you are using the correct form to evaluate for angle measures in degrees. b. Draw the triangle and add the length of E to your diagram. c. mAA = a degrees Preview 8 Try again. Look back at our previous work. The rst step in the solution process is to write an equality like sin(mA) sin(31.3) . . . . T : f , inserting the value of c from your answer to part (a), and then solvmg for mAA in degrees. Make sure your answer to part (a) is correct, and if you are entering a trigonometric expression make sure to use the correct form to evaluate for angle measures in degrees. 1.sz 2 at degrees Preview 8 Try again. Make sure your answer to part (b) is correct. Once you have the correct value for mAA, you can answer this part using the fact that the Sum of the three interior angle measures in a triangle must always sum to 180 . For triangle ABC, we are given that mZC = 101.9, AC = 13.8 ft, and BC = 22.1 ft. We can use the Law of Cosines, Law of Sines, and other properties of triangles to determine all of the missing information. Note that the diagram may not be drawn to scale. B 22.1 ft 101.90 13.8 ft Determine all of the missing information about this triangle. a. AB = feet Preview b. Draw the triangle and add the length of AB to your diagram. c. mZA = degrees Preview d. m/B = degrees Preview Note that this question allows you to use trig functions that evaluate for angle measures in degrees. To remind yourself how to evaluate trig functions for angle measures in degrees in this program, click here.Triangle ABC is shown below with all three side lengths known. 11.2 cm 15.5 cm 22.6 cm Determine the missing angle measures using the Law of Cosines, Law of Sines, and other properties of triangles. NOTE: AB is an obtuse angle. Please make sure to think about this when determining your answers. Km might want to determine mZA and mAC'rst. ereee = :1 degrees Peerew beers = :1 degree Preview were: :1 degree revere This question allows you to use trig lnetions that evaluate for angle measures in degrees. To remind yourself how to evaluate trig functions for angle measures in degrees in this pLogram, click here

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