How do you write pythagorean theorem in python?

Python Math: Exercise-68 with Solution

Write a Python program to create a Pythagorean theorem calculator.

Note : In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Sample Solution:-

Python Code:

from math import sqrt

print('Pythagorean theorem calculator! Calculate your triangle sides.')
print('Assume the sides are a, b, c and c is the hypotenuse (the side opposite the right angle')
formula = input('Which side (a, b, c) do you wish to calculate? side> ')

if formula == 'c':
	side_a = int(input('Input the length of side a: '))
	side_b = int(input('Input the length of side b: '))

	side_c = sqrt(side_a * side_a + side_b * side_b)
	
	print('The length of side c is: ' )
	print(side_c)

elif formula == 'a':
    side_b = int(input('Input the length of side b: '))
    side_c = int(input('Input the length of side c: '))
    
    side_a = sqrt((side_c * side_c) - (side_b * side_b))
    
    print('The length of side a is' )
    print(side_a)

elif formula == 'b':
    side_a = int(input('Input the length of side a: '))
    side_b = int(input('Input the length of side c: '))
        
    side_c = sqrt(side_c * side_c - side_a * side_a)
    
    print('The length of side b is')
    print(side_c)

else:
	print('Please select a side between a, b, c')
	

Sample Output:

Pythagorean theorem calculator! Calculate your triangle sides.                                                
Assume the sides are a, b, c and c is the hypotenuse (the side opposite the right angle                       
Which side (a, b, c) do you wish to calculate? side>a                                                         
Input the length of side b:10                                                                                 
Input the length of side c:15                                                                                 
The length of side a is                                                                                       
11.180339887498949 

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hypot() function is an inbuilt math function in Python that return the Euclidean norm,

Syntax :

hypot(x, y) 

Parameters :

x and y are numerical values 

Returns :

Returns a float value having Euclidean norm, sqrt(x*x + y*y). 

Error :

When more then two arguments are 
passed, it returns a TypeError.

Note : One has to import math module before using hypot() function.
 
Below is the demonstration of hypot() function :

Code #1 :

import math

print("hypot(3, 4) : ", math.hypot(3, 4))

print("hypot(-3, 4) : ", math.hypot(-3, 4))

print("hypot(6, 6) : ", math.hypot(6, 6))

Output :

hypot(3, 4) :  5.0
hypot(-3, 4) :  5.0
hypot(6, 6) :  8.48528137423857

 
Code #2 :

import math

print("hypot(3, 4, 6) : ",  math.hypot(3, 4, 6))

Output :

Traceback (most recent call last):
  File "/home/d8c8612ee97dd2c763e2836de644fac1.py", line 7, in 
    print("hypot(3, 4, 6) : ",  math.hypot(3, 4, 6))
TypeError: hypot expected 2 arguments, got 3

 
Practical Application :
Given perpendicular and base of a right angle triangle find the hypotenuse.

Using Pythagorean theorem which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Hence,

 Hypotenuse = sqrt(p^2 + b^2) 

Code #3 :

from math import hypot

p = 3

b = 4

print("Hypotenuse is:", hypot(p, b))

Output :

Hypotenuse is: 5.0