(Solved): 11. Here we connect the Law of Cosines with SSS. (a) Does the value of cos y uniquely determine an ...

11. Here we connect the Law of Cosines with SSS. (a) Does the value of cos y uniquely determine an angle y satisfying 0 ? y ?? Why? (b) Use the Law of Cosines to show that if we know all three sides of a triangle (say, of lengths A, B, and C), then we can uniquely determine all three angles. How does part (a) play a role in this process? (c) Construct a large triangle. Measure the three side lengths. Then, use the Law of Cosines to compute the cosine of each of the angles in the triangle. (d) Using your figure from part (c), measure the angles and compute the cosines of the angle measures. How well do the cosines you just computed agree with the cosines from part (c)?