Pythagorean theorem python - Python Calculation of Pythagorean Theorem

Pythagorean Theorem:

Pythagorean theorem python: According to the Pythagorean Theorem, the square of the hypotenuse in a right-angle triangle is equal to the sum of the squares of the other two sides.

If the three sides of a right-angle triangle are a, b, and c, and c is the hypotenuse, then

c^2 = a^2 + b^2

Calculation of Pythagorean Theorem in Python

Method #1: Using sqrt() Function (User Input)

Approach:

Import sqrt function from math module using the import keyword
Give some random side(a,b,c) of a right-angled triangle as user input using the input() function and store it in a variable.
Check if the given side is ‘a’ using the if conditional statement
If it is true, then give the sides b, c as user input using the int(input()) function and store them in separate variables
Calculate the corresponding hypotenuse side(a) with the given two sides using the given mathematical formula, srqt() function and store it in another variable.
Print the hypotenuse(side-a) of the right-angled triangle
Check if the given side is ‘b’ using the elif conditional statement.
If it is true, then give the sides a, c as user input using the int(input()) function and store them in separate variables
Calculate the corresponding hypotenuse side(a) with the given two sides using the given mathematical formula, srqt() function and store it in another variable.
Print the hypotenuse(side-b) of the right-angled triangle
Else check if the given side is ‘c’ using the else statement
If it is true, then give the sides a, b as user input using the int(input()) function and store them in separate variables
Calculate the corresponding hypotenuse side(a) with the given two sides using the given mathematical formula, srqt() function and store it in another variable.
Print the hypotenuse(side-c) of the right-angled triangle.
The Exit of the Program.

Below is the implementation:

# Import sqrt function from math module using the import keyword
from math import sqrt
# Give some random side(a,b,c) of a right angled triangle as user input 
# using the input() function and store it in a variable.
gvn_side = input("Enter some random side(a,b,c) of a right angled triangle: ")

# Check if the given side is 'a' using the if conditional statement
if gvn_side == "a":
    # If it is true, then give the sides b, c as user input using the 
    # int(input()) function and store them in separate variables
    gvn_b = int(input("Enter some random number(side-b)= "))
    gvn_c = int(input("Enter some random number(side-c)= "))
    # Calculate the corresponding hypotenuse side(a) with the given two sides
    # using the given mathematical formula, srqt() function and store it in another variable.
    hypotenuse_side= sqrt(gvn_c**2 - gvn_b**2)
    # Print the hypotenuse(side-a) of the right-angled triangle
    print("The hypotenuse(side-a) of the right-angled triangle = ",hypotenuse_side)

# Check if the given side is 'b' using the elif conditional statement
elif gvn_side == "b":
    # If it is true, then give the sides a, c as user input using the 
    # int(input()) function and store them in separate variables
    gvn_a = int(input("Enter some random number(side-a)= "))
    gvn_c = int(input("Enter some random number(side-c)= "))
    # Calculate the corresponding hypotenuse side(a) with the given two sides
    # using the given mathematical formula, srqt() function and store it in another variable.
    hypotenuse_side = sqrt(gvn_c**2 - gvn_a**2)
    # Print the hypotenuse(side-b) of the right-angled triangle
    print("The hypotenuse(side-b) of the right-angled triangle = ",hypotenuse_side)

# Else check if the given side is 'c' using the else statement
else:
    # If it is true, then give the sides a, b as user input using the 
    # int(input()) function and store them in separate variables
    gvn_a = int(input("Enter some random number(side-a)= "))
    gvn_b = int(input("Enter some random number(side-b)= "))
    # Calculate the corresponding hypotenuse side(a) with the given two sides
    # using the given mathematical formula, srqt() function and store it in another variable.
    hypotenuse_side = sqrt(gvn_a**2 + gvn_b**2)
    # Print the hypotenuse(side-c) of the right-angled triangle
    print("The hypotenuse(side-c) of the right-angled triangle = ",hypotenuse_side)

Output:

Enter some random side(a,b,c) of a right angled triangle: b
Enter some random number(side-a)= 2
Enter some random number(side-c)= 5
The hypotenuse(side-b) of the right-angled triangle = 4.58257569495584

Method #2: Using Mathematical Formula (User Input)