The discussion centers on solving for the side lengths of a triangle inscribed in a circle with a radius of 3, where angles A and B are 40° and 80°, respectively. Participants identify the Law of Sines, expressed as a/sin(A) = b/sin(B) = c/sin(C) = 2R, as the key to finding the side lengths. The conversation highlights confusion regarding the application of the Law of Cosines and emphasizes the importance of using the correct trigonometric relationships. Ultimately, the Law of Sines is confirmed as the appropriate method for this problem.
PREREQUISITESStudents preparing for geometry exams, educators teaching trigonometry, and anyone interested in the properties of inscribed triangles and circle geometry.
I couldn't possibly know something I hadn't previously heard of. The fact that the radius is 3 was given in the task. This isn't something I'm handing in, I'm preparing for an exam, so no one but myself sees it :-) That doesn't make it wrong though, haha.Noctisdark said:You should know it or know how to demonstrate it, but maddie did you explain from where you got the 3, not for me but in the papercheet to give to the teacher, maths should be logic and precise, in fact using sine here is a stright direct application of it not turning around loop and using cos,