Function area_triangle_three_sides

maths/area.py:315–360

Calculate area of triangle when the length of 3 sides are known. This function uses Heron's formula: https://en.wikipedia.org/wiki/Heron%27s_formula >>> area_triangle_three_sides(5, 12, 13) 30.0 >>> area_triangle_three_sides(10, 11, 12) 51.521233486786784 >>> ar

(side1: float, side2: float, side3: float)

def area_triangle_three_sides(side1: float, side2: float, side3: float) -> float:
    """
    Calculate area of triangle when the length of 3 sides are known.
    This function uses Heron's formula: https://en.wikipedia.org/wiki/Heron%27s_formula

    >>> area_triangle_three_sides(5, 12, 13)
    30.0
    >>> area_triangle_three_sides(10, 11, 12)
    51.521233486786784
    >>> area_triangle_three_sides(0, 0, 0)
    0.0
    >>> area_triangle_three_sides(1.6, 2.6, 3.6)
    1.8703742940919619
    >>> area_triangle_three_sides(-1, -2, -1)
    Traceback (most recent call last):
        ...
    ValueError: area_triangle_three_sides() only accepts non-negative values
    >>> area_triangle_three_sides(1, -2, 1)
    Traceback (most recent call last):
        ...
    ValueError: area_triangle_three_sides() only accepts non-negative values
    >>> area_triangle_three_sides(2, 4, 7)
    Traceback (most recent call last):
        ...
    ValueError: Given three sides do not form a triangle
    >>> area_triangle_three_sides(2, 7, 4)
    Traceback (most recent call last):
        ...
    ValueError: Given three sides do not form a triangle
    >>> area_triangle_three_sides(7, 2, 4)
    Traceback (most recent call last):
        ...
    ValueError: Given three sides do not form a triangle
    """
    if side1 < 0 or side2 < 0 or side3 < 0:
        raise ValueError("area_triangle_three_sides() only accepts non-negative values")
    elif side1 + side2 < side3 or side1 + side3 < side2 or side2 + side3 < side1:
        raise ValueError("Given three sides do not form a triangle")
    semi_perimeter = (side1 + side2 + side3) / 2
    area = sqrt(
        semi_perimeter
        * (semi_perimeter - side1)
        * (semi_perimeter - side2)
        * (semi_perimeter - side3)
    )
    return area


def area_parallelogram(base: float, height: float) -> float: