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  • To write Python Program to find Area Of a Triangle, Perimeter of a Triangle and Semi Perimeter of a Triangle with example.
  • Before we step into the program, Let see the definitions and formulas behind Perimeter and Area Of a Triangle.

Area Of a Triangle

  • If we know the length of three sides of a triangle then we can calculate the area of a triangle using Heron’s Formula
 Python Program to find Area Of a Triangle

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Area of a Triangle = √(s*(s-a)*(s-b)*(s-c))
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  • Where s = (a + b + c )/ 2 (Here s = semi perimeter and a, b, c are the three sides of a triangle)
Perimeter of a Triangle = a + b + c
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Python Program to find Area of a Triangle & Perimeter of a Triangle

  • This Python program allows the user to enter three sides of the triangle. Using those values we will calculate the Perimeter of a triangle, Semi Perimeter of a triangle and then Area of a Triangle.

Sample Code

# Python Program to find Area of a Triangle
 
a = float(input('Please Enter the First side of a Triangle: '))
b = float(input('Please Enter the Second side of a Triangle: '))
c = float(input('Please Enter the Third side of a Triangle: '))
 
# calculate the Perimeter
Perimeter = a + b + c
 
# calculate the semi-perimeter
s = (a + b + c) / 2
 
# calculate the area
Area = (s*(s-a)*(s-b)*(s-c)) ** 0.5
 
print("\n The Perimeter of Traiangle = %.2f" %Perimeter);
print(" The Semi Perimeter of Traiangle = %.2f" %s);
print(" The Area of a Triangle is %0.2f" %Area)
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Output

 Python Program to find Area of a Triangle & Perimeter of a Triangle

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Analysis

  • Following statements will allow the User to enter the three sides of the triangle a, b, c.
a = float(input('Please Enter the First side of a Triangle: '))
b = float(input('Please Enter the Second side of a Triangle: '))
c = float(input('Please Enter the Third side of a Triangle: '))
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  • Next, Calculating the Perimeter of Triangle using the formula P = a+b+c.
# calculate the Perimeter
Perimeter = a + b + c
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  • Next, Calculating the semi perimeter using the formula (a+b+c)/2.
  • Although we can write semi perimeter = (Perimeter/2) but we want show the formula behind. That is why we used standard formula
s = (a + b + c) / 2
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  • Calculating the Area of a triangle using Heron’s Formula:
(s*(s-a)*(s-b)*(s-c)) ** 0.5
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Python Program to find Area of a Triangle using functions

  • This program allows the user to enter three sides of the triangle.
  • We will pass those three values to the function arguments to calculate the area of a triangle.

Sample Code

# Python Program to find Area of a Triangle using Functions
 
import math
 
def Area_of_Triangle(a, b, c):
    
    # calculate the Perimeter
    Perimeter = a + b + c
    # calculate the semi-perimeter
    s = (a + b + c) / 2
 
    # calculate the area
    Area = math.sqrt((s*(s-a)*(s-b)*(s-c)))
 
    print("\n The Perimeter of Traiangle = %.2f" %Perimeter);
    print(" The Semi Perimeter of Traiangle = %.2f" %s);
    print(" The Area of a Triangle is %0.2f" %Area)
 
Area_of_Triangle(6, 7, 8)
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Output

 Python Program to find Area of a Triangle using functions

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Analysis

  • First, We imported the math library using the following statement.
  • This will allow us to use the mathematical functions like math.sqrt function
import math
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  • Next, We defined the function with three arguments using def keyword. It means, User will enter the three sides of the triangle a, b, c.
  • Calculating the Area of a triangle using Heron’s Formula: sqrt(s*(s-a)*(s-b)*(s-c)); (sqrt() is the mathematical function inside the math library, which is used to calculate the square root.

NOTE: Please be careful while placing the open and close brackets, it may change the entire calculation if you place it wrong


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