Three different formulas (traditional, sine, heron’s) for calculating the area of a triangle.

# Triangle Area formulas
# Three different formulas depending on given information
# J Wysocki, 11 Feb 2026

from numpy import sqrt, sin, pi

def heron(a,b,c):
  """
  Using Heron's formula to calculate area of a triangle
  parameters: side lengths of a triangle (a, b, c)
  return: area of a triangle
  """
  semi = (a + b + c) / 2
  return sqrt(semi * (semi - a) * (semi - b) * (semi - c))
  
def area(base, height):
  """
  Use traditional formula to calculate area of a triangle
  parameters: base and height of a triangle
  return: area of a triangle
  """
  return base * height / 2

def sine_area(side1, angle, side2):
  """
  Using the sine area formula to calculate area of a triangle
  parameters: two sides and included angle
  return: area of a triangle
  """
  radian_angle = angle * pi / 180
  return side1 * side2 * sin(radian_angle) / 2