Consider the triangle shown below where mZB = 78, @ = 35.7 cm, and = 31 cm. xcm 35.7 cm A 31cm B Use the Law of Cosines to determine the value of z (the length of AC in cm). F= 1%7 Preview Statement of the Law of Cosines. Submit Question 6. Points possible: 1 Unlimited attempts. License Consider the triangle shown below where mZC = 50, b = 10 cm, and @ = 22 cm. C 22 cm 10 cm A xcm B Use the Law of Cosines to determine the value of z (the length of AB in cm). z = ) Preview Statement of the Law of Cosines. Submit Question 5. Points possible: 1 License Unlimited attempts. 3:14 AM Fri Mar 15 @ 10% 14 imathas.rationalreasoning.net a In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in some cases the Law of Sines returns two possible measurements. Statement of the Law of Sines. Helpful Hint: Draw a unit circle and think about the range of arcsin. Also, recall that the trigonometric functions in iMathAS use radians as the default, so you may need to change units. Consider the diagram below, and assume that m/B = 61 , AB = 4.22 cm, and AC = 3.82 cm. 3.82 cm 4.22 cm B a. Using the Law of Sines, determine the value of mZC. You should notice that there are actually two possible values - list both of them (separated by a comma). mLC = Preview b. If we assume the diagram is to scale, which value of mLC makes more sense? Enter the appropriate value. mLC = Preview c. Using your answer to part (b), determine the length of BC. BC = cm Preview Submit Question 4. Points possible: 3 License