Homework (counting iteration issue)

[Cardinal07]

Below is my Homework assignment. I cannot for the life of me figure out why my while loop
doesn't recognize my condition != 'no'. The loop will not exit when 'no' is entered. ANY insight would be great!

# This program will ask a user to input the length of
# three sides to a triangle.When the user inputs the
# side lengths the program will determine whether
# the triangle is Isosceles, Equilateral, Not equilateral or isosceles.
# The program will then give the total number of triangles processed.

def main():
    # Initialize counter
    answer = 0
    # Get the user to answer yes or no.
    userAnswer = str(input("Would you like to enter three sides to a" + \
                           "triangle? Please answer yes or no:"))
    # Gather side data
    side1 = int(input("Side 1 Size?"))
    side2 = int(input("Side 2 Size?"))
    side3 = int(input("Side 3 Size?"))
    # Calculate side data
    while userAnswer != 'no':
        answer += 1
        if side1 == side2 == side3:
            print("Equilateral triangle")
            break
        elif side1 != side2 != side3:
            print("Not equilateral or isosceles")
            break
        else:
            print("Isosceles triangle")
            break
    print("Processing is complete. You have evaluated", answer, "sets of sides.")
    main()
    print("Processing is complete. You have evaluated", answer, "sets of sides.")


main()