Pythagorean Theorem in Python calc: find a, b=n/a, c=n/a

By Vikram Negi

In this tutorial, We’ll discuss how you can calculate the side of any right angle triangle using Pythagorean Theorem in Python. Before that, let’s get quick look at Pythagorean Theorem:

Pythagorean Theorem: The Pythagorean Theorem states that – in the right angle triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

if a, b and c are the 3 sides of any right angle triangle and c is hypotenuse then,

C² = a² + b²

First, we need to import sqrt() function from math library of python in order to find square-root of any number. We also provide a solution without sqrt() function below but first, look at how we can do it with the help of sqrt() function.

from math import sqrt

Here we assume a, b and c are three sides of any right angle triangle and c is the hypotenuse of that triangle. Hence according to Pythagorean Theorem :

C² = a² + b² 

from math import sqrt

print('''We Assume a,b,and c are three sides of triangle and c is hypotenuse''')
side_find = input("Enter the side you want to find : ")

if side_find == "a":
    side_b = int(input("Enter the length of side b : "))
    side_c = int(input("Enter the length of side c : "))
    side_find = sqrt(side_c**2 - side_b**2)
    print(f"The length of side a : {side_find}")
elif side_find == "b":
    side_a = int(input("Enter the length of side a : "))
    side_c = int(input("Enter the length of side c : "))
    side_find = sqrt(side_c**2 - side_a**2)
    print(f"The length of side b : {side_find}")
else:
    side_a = int(input("Enter the length of side a : "))
    side_b = int(input("Enter the length of side b : "))
    side_find = sqrt(side_a**2 + side_b**2)
    print(f"The length of side c : {side_find}")

 Output :

We Assume a,b,and c are three sides of triangle and c is hypotenuse
Enter the side you want to find : a
Enter the length of side b : 3
Enter the length of side c : 5
The length of side a : 4.0

Here in the above code i want to find side “a” so i entered a , the length of b and c are 3 and 5 respectively , Hence by this we get our side a = 4.0 .

With sqrt() function

This is simple program, here we use “**” to find square root rather than sqrt() function.

print("We Assume a,b,and c are three sides of triangle and c is hypotenuse")
side_find = input("Enter the side you want to find : ")

if side_find == "a":
    side_b = int(input("Enter the length of side b : "))
    side_c = int(input("Enter the length of side c : "))
    side_find = (side_c**2 - side_b**2)**(1/2)
    print(f"The length of side a : {side_find}")
elif side_find == "b":
    side_a = int(input("Enter the length of side a : "))
    side_c = int(input("Enter the length of side c : "))
    side_find = (side_c**2 - side_a**2)**(1/2)
    print(f"The length of side b : {side_find}")
else:
    side_a = int(input("Enter the length of side a : "))
    side_b = int(input("Enter the length of side b : "))
    side_find = (side_a**2 + side_b**2)**(1/2)
    print(f"The length of side c : {side_find}")

We Assume a,b,and c are three sides of triangle and c is hypotenuse
Enter the side you want to find : a
Enter the length of side b : 3
Enter the length of side c : 5
The length of side a : 4.0

Here again, we got a = 4.0, when we passed b=3 and c=5, Hence no matter what method you used your answer will be the same.

I hope this will be helpful for you.