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For triangle ABC, we are given that 5114;! = 31 9, AB = 17.7 in, and BC = 10.41 in. We have drawn ONE POSSIBLE
For triangle ABC, we are given that 5114;! = 31 9, AB = 17.7 in, and BC = 10.41 in. We have drawn ONE POSSIBLE triangle with these measurements below (with .40 acute). 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. Determine the missing information for this triangle. a. mic = I degrees Preview . . . . . . . . mimic) sin{31 \"J 8 Try again. Look back at our previous work. The rst step in the solution process is to write an equality like = , 17.7 10.41 inserting mZB from your answer to part (b), and then solving for the length AC in cm. um: :1- deg... Preview 8 Try again. There are two ways to complete this part, but the easiest method involves using the given angle measure, plus the angle measure you determined in part (a), to nd the missing angle measure. c.AC'= 20.20 vinches Preview Q? Correct! Well done! For the same set of measurements given we can create a SECOND POSSIBLE triangle with Z0 obtuse. d. Draw the second possible triangle that can be formed. e. For this second possible triangle, determine each of the following values. i. mC = I degrees Preview 8 Try again. You will need to use the angle measure you determined in part (a) and nd another angle measure with the same sine value. ii. mB = I degrees Preview 8 Try again. Make sure your answer to part {i} is correct. Then remember that the sum of the three interior angle measures in a triangle must he 180. iii. A0 = I inches Preview 8 Try again. Look back at our previous work. The rst step in the solution process is to write an equality like b 10.41 51-11mm) = sin(31 ) , inserting 11143 from your answer to part (ii), and then solving for the length AG in cm. For triangle ABC, we are given that 11112! = 41 , AB = 9 in, and BC = 6.07 in. We have drawn ONE POSSIBLE triangle with these measurements below (with AC acute). 9 in 6.01'I in 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. Determine the missing information for this triangle. r-mec= S view-er Preview emeri= Z rieerree ireview wric= Series Preview For the same set of measurements given we can create a SECOND POSSIBLE triangle with ZC' obtuse. d. Draw the second possible triangle that can be formed. e. For this second possible triangle, determine each of the following values. i. 11110 = \\:| degrees Preview ii. mZB = \\:| degrees Preview iii. A0 = \\:| inches Preview The second possible triangle formed (where 90
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