I've always had trouble memorizing all of the rules for the ambiguous case, but now I don't have to memorize anything! Thank you for making my life so much easier!
Hi Tim! I believe your calculator is in radian mode instead of degree mode, which will give you a different answer. To learn how to change the mode of a TI-84 Plus calculator, you can watch my 30 second video right here: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-avUY53N_UWw.html If you have a different type of calculator, you can search for a tutorial on how to change from radian mode to degree mode on your calculator. Hope this helps!
You are really crazy to draw angles greater than 90 degrees i.e. obtuse angles as acute angles in your first two examples. The ambiguity of SSA can be solved quickly as follows: For angle A as an acute angle, (1) No solution when side S opposite to angle A is the shorter than the other side S x SinA. (2) Two solutions when side S opposite to angle A is longer than the other side S x SinA but shorter than the other side S. (3) One solution when A is a right angle or side S opposite to angle A is longer than the other side S. For angle A as obtuse angles, there is only one rule i.e. no solution for side S opposite angle A is the shorter side and one solution when side S opposite angle A is the longer side. Use 3 seconds to get S x SinA with your calculator when angle A is an acute angle and side S opposite angle A is the shorter side. Don't waste time calculating with sine law when no solution is possible. Calculate the supplementary angle only when two solutions are possible i.e. when angle A is an acute angle and side S opposite angle A is the shorter side but longer than the other side S x Sin A.
