2) triangle.py Write a program that will ask the user to input three positive numbers in descending order. The program will then - using a specific procedure!- compute the three angles of the triangle...

In python


Extracted text: 2) triangle.py Write a program that will ask the user to input three positive numbers in descending order. The program will then - using a specific procedure!- compute the three angles of the triangle that has those three numbers as sidelengths, in degrees. You will do this by using the Law of Cosines to find the largest angle, then using the Law of Sines to find the middle angle, and then subtract to find the smallest angle. (There are other ways to proceed - you might say they are better ways! However, I am insisting that you do it in this manner.) I strongly suggest you look up the Law of Sines and the Law of Cosines in case you've forgotten them. Also, don't forget about converting from radians to degrees. In addition, you should Google the trigonometric and inverse trigonometric functions that you will need for your caldulations. When you run your program, a sample run might look like this (where the user inputs 5, 4 and 3): Enter largest side length: 5 Enter middle side length: 4 Enter smallest side length: 3 The angles are: 90.0 53.13010235415598 36.86989764584401 or this (where the user inputs 4.1, 2.6 and 2.4): Enter largest side length: 4.1 Enter middle side length: 2.6 Enter smallest side length: 2.4 The angles are: 110 105500787916