Program to check congruency of two triangles in Python

In this tutorial, we are going to check the congruency of two triangles. We are going to check SSS, SAS, and AAA. The similarity of the triangles is proved based on those criteria.

We have to check different conditions based on the theorem. Check them in the code below.

Example

 Live Demo

def side_side_side(sides_one, sides_two):
   # sorting same pace
   sides_one.sort()
   sides_two.sort()
   # checking the conditions
   if sides_one[0] / sides_two[0] == sides_one[1] / sides_two[1] \
      and sides_one[1] / sides_two[1] == sides_one[2] / sides_two[2] \
      and sides_one[2] / sides_two[2] == sides_one[0] / sides_two[0]:
      return True
   return False
def side_angle_side(sides_one, sides_two, angles_one, angles_two):
   # sorting same pace
   sides_one.sort()
   sides_one.sort()
   angles_one.sort()
   angles_one.sort()
   # checking conding 1
   if sides_one[0] / sides_two[0] == sides_one[1] / sides_two[1]:
      if angles_one[0] == angles_two[0]:
         return True
   # checking conding 2
   if sides_one[1] / sides_two[1] == sides_one[2] / sides_two[2]:
      if angles_one[1] == angles_two[1]:
         return True
   # checking conding 3
   if sides_one[2] / sides_two[2] == sides_one[0] / sides_two[0]:
      if angles_one[2] == angles_two[2]:
         return True
   # return False if any of the above conditions are not satisfied
      return False
def angle_angle_angle(angles_one, angles_two):
   # sorting same pace
   angles_one.sort()
   angles_two.sort()
   # checking the conditions
   if angles_one[0] == angles_two[0] \
      or angles_one[1] == angles_two[1] \
      or angles_one[2] == angles_two[2]:
      return True
   return False
   if __name__ == '__main__':
      # initialzing the sides
      sides_one = [2.0, 3.0, 3.0]
      sides_two = [4.0, 6.0, 6.0]
      # initialzing the angles
      angles_one = [80.0, 60.0, 40.0]
      angles_two = [40.0, 60.0, 80.0]
      # checking the printing the respective property
      print("Triangles are similar by:", end=' ')
      if side_side_side(sides_one, sides_two):
         print("SSS", end=' ')
      if side_angle_side(sides_one, sides_two, angles_one, angles_two):
         print("SAS", end=' ')
      if angle_angle_angle(angles_one, angles_two):
         print("AAA", end='')

Output

If you run the above code, then you will get the following result.

Triangles are similar by: SSS SAS AAA

Conclusion

If you have any queries regarding the tutorial, mention them in the comment section.