Problem B: Triangle-tastic (20 points) Say you want to enter a number of triangles and want to find the average area of them all. You input a triangle by typing t then entering the base and height of the triangle. When you are done, type q to quit. The program should then display the average area for all triangles entered. The area of a triangle for base b and height h is Area = 1 2 bh Your program is expected to handle a few specific special / error cases:

IF the user enters no valid triangles before quitting, rather than crashing, or displaying an average area of 0, say No triangles.

If the user enters a command other than t (for triangle) or q (for quit) display an error message: Unknown command, try again, and repeat.

If the user enters a triangle with non-positive (0 or negative) base or hieght, just like the other case, print an error messsage Invalid triangle, try again and contune without counting this triangle.