# this file available at: https://arachnoid.com/files/python01/
import math

from dataclasses import dataclass

# pythagorean triple:
# https://mathworld.wolfram.com/PythagoreanTriple.html
# https://en.wikipedia.org/wiki/Pythagorean_triple

@dataclass
class Triangle:
    a: int
    b: int
    c: int
    def sum_of_squares(self):
        return self.a**2+self.b**2
    def hypotenuse(self):
        return (self.sum_of_squares())**0.5
    def triple_test(self) -> bool:
        if math.gcd(self.a,math.gcd(self.b,self.c)) == 1:
            return self.hypotenuse() == self.c
        else:
            return False

def triangle_test():
  for values in ((3,4,5),(5,12,13),(7,24,25),(2,4,6)):    
      triangle = Triangle(*values)
      print(f'for triangle values a,b,c = {list(values):}:')
      print(f'\tSum of squares: a^2 + b^2 = {triangle.sum_of_squares():.1f}')
      print(f'\tHypotenuse : sqrt(a^2+b^2) = {triangle.hypotenuse():.1f}')
      print(f'\tPythagorean triple: {triangle.triple_test()}')

def main():
    triangle_test()

if __name__ == "__main__":
    main()