# pythagorean theorem calculator in python

Here’s an implementation of the Pythagorean theorem in Python to calculate the length of the hypotenuse (c) given the lengths of the two sides (a and b):

``````def pythagorean_theorem(a, b):
return (a**2 + b**2)**0.5

a = float(input("Enter the length of side a: "))
b = float(input("Enter the length of side b: "))

c = pythagorean_theorem(a, b)
print("The length of the hypotenuse is", c)
``````

## How do you code the Pythagorean Theorem in Python?

Here is an implementation of the Pythagorean Theorem in Python to calculate the length of the hypotenuse (c) given the lengths of the two sides (a and b):

``````def pythagorean_theorem(a, b):
return (a**2 + b**2)**0.5

a = float(input("Enter the length of side a: "))
b = float(input("Enter the length of side b: "))

c = pythagorean_theorem(a, b)
print("The length of the hypotenuse is", c)
``````

## How do you find Pythagorean triples in Python?

A Pythagorean triple is a set of three positive integers (a, b, c) such that a^2 + b^2 = c^2. Here’s an implementation in Python to find all Pythagorean triples up to a certain limit n:

``````def pythagorean_triples(n):
triples = []
for a in range(1, n):
for b in range(a, n):
c = (a**2 + b**2)**0.5
if int(c) == c:
triples.append((a, b, int(c)))
return triples

limit = int(input("Enter the limit: "))
triples = pythagorean_triples(limit)
print("The Pythagorean triples are:", triples)
``````

## Can Python solve polynomial equation?

Yes, Python can solve polynomial equations. There are several libraries in Python that can be used to solve polynomial equations, such as `numpy`, `sympy`, and `scipy`.

For example, using the `sympy` library, you can solve a polynomial equation using the `solve` function:

``````from sympy import symbols, solve

x = symbols('x')
expr = x**3 - 6*x**2 + 11*x - 6
sol = solve(expr)
print("The solutions are:", sol)
``````

This code will print the solutions to the equation `x^3 - 6x^2 + 11x - 6 = 0`.

The Pythagorean Theorem is mathematical formula that states the following: in a right-angled triangular it is the case that the width of the hypotenuse (the side to the left of the angle) is equal to the sum of the squares that comprise the lengths of the two other sides. It can be expressed as a 2 + b 2 = c 2. where the a and b represent the respective lengths for the sides while c represents the length of the hypotenuse. In Python you can apply the Pythagorean Theorem as a Function to determine what the size of your hypotenuse based on that the dimensions of the two other sides. Here’s an example of how to implement it: