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Add function to calculate area of triangle using Heron's formula (#4065)

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* Update area.py

Modified area of triangle function. Added a new algorithm to calculate area when 3 sides are known

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* Update area.py

* Update area.py

* Update area.py

* Update area.py

* Remove unnecessary whitespace

Co-authored-by: Dhruv Manilawala <dhruvmanila@gmail.com>
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SiddhantJain15 2020-12-28 13:36:57 +05:30 committed by GitHub
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1 changed files with 55 additions and 26 deletions
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maths/area.py
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@ -1,7 +1,7 @@
"""
Find the area of various geometric shapes
"""
from math import pi
from math import pi, sqrt
def surface_area_cube(side_length: float) -> float:
@ -26,7 +26,7 @@ def surface_area_sphere(radius: float) -> float:
"""
Calculate the Surface Area of a Sphere.
Wikipedia reference: https://en.wikipedia.org/wiki/Sphere
:return 4 * pi * r^2
Formula: 4 * pi * r^2
>>> surface_area_sphere(5)
314.1592653589793
@ -44,7 +44,7 @@ def surface_area_sphere(radius: float) -> float:
def area_rectangle(length: float, width: float) -> float:
"""
Calculate the area of a rectangle
Calculate the area of a rectangle.
>>> area_rectangle(10, 20)
200
@ -68,7 +68,7 @@ def area_rectangle(length: float, width: float) -> float:
def area_square(side_length: float) -> float:
"""
Calculate the area of a square
Calculate the area of a square.
>>> area_square(10)
100
@ -84,7 +84,7 @@ def area_square(side_length: float) -> float:
def area_triangle(base: float, height: float) -> float:
"""
Calculate the area of a triangle
Calculate the area of a triangle given the base and height.
>>> area_triangle(10, 10)
50.0
@ -106,9 +106,42 @@ def area_triangle(base: float, height: float) -> float:
return (base * height) / 2
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(-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
"""
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:
"""
Calculate the area of a parallelogram
Calculate the area of a parallelogram.
>>> area_parallelogram(10, 20)
200
@ -132,7 +165,7 @@ def area_parallelogram(base: float, height: float) -> float:
def area_trapezium(base1: float, base2: float, height: float) -> float:
"""
Calculate the area of a trapezium
Calculate the area of a trapezium.
>>> area_trapezium(10, 20, 30)
450.0
@ -172,7 +205,7 @@ def area_trapezium(base1: float, base2: float, height: float) -> float:
def area_circle(radius: float) -> float:
"""
Calculate the area of a circle
Calculate the area of a circle.
>>> area_circle(20)
1256.6370614359173
@ -188,7 +221,7 @@ def area_circle(radius: float) -> float:
def area_ellipse(radius_x: float, radius_y: float) -> float:
"""
Calculate the area of a ellipse
Calculate the area of a ellipse.
>>> area_ellipse(10, 10)
314.1592653589793
@ -214,7 +247,7 @@ def area_ellipse(radius_x: float, radius_y: float) -> float:
def area_rhombus(diagonal_1: float, diagonal_2: float) -> float:
"""
Calculate the area of a rhombus
Calculate the area of a rhombus.
>>> area_rhombus(10, 20)
100.0
@ -236,24 +269,20 @@ def area_rhombus(diagonal_1: float, diagonal_2: float) -> float:
return 1 / 2 * diagonal_1 * diagonal_2
def main():
print("Areas of various geometric shapes: \n")
print(f"Rectangle: {area_rectangle(10, 20)}")
print(f"Square: {area_square(10)}")
print(f"Triangle: {area_triangle(10, 10)}")
print(f"Parallelogram: {area_parallelogram(10, 20)}")
print(f"Trapezium: {area_trapezium(10, 20, 30)}")
print(f"Circle: {area_circle(20)}")
print("\nSurface Areas of various geometric shapes: \n")
print(f"Cube: {surface_area_cube(20)}")
print(f"Sphere: {surface_area_sphere(20)}")
print(f"Rhombus: {area_rhombus(10, 20)}")
if __name__ == "__main__":
import doctest
doctest.testmod(verbose=True) # verbose so we can see methods missing tests
main()
print("[DEMO] Areas of various geometric shapes: \n")
print(f"Rectangle: {area_rectangle(10, 20) = }")
print(f"Square: {area_square(10) = }")
print(f"Triangle: {area_triangle(10, 10) = }")
print(f"Triangle: {area_triangle_three_sides(5, 12, 13) = }")
print(f"Parallelogram: {area_parallelogram(10, 20) = }")
print(f"Trapezium: {area_trapezium(10, 20, 30) = }")
print(f"Circle: {area_circle(20) = }")
print("\nSurface Areas of various geometric shapes: \n")
print(f"Cube: {surface_area_cube(20) = }")
print(f"Sphere: {surface_area_sphere(20) = }")
print(f"Rhombus: {area_rhombus(10, 20) = }")