Pythagorean triples in python assignment expert

Question

A Pythagorean triplet is a set of three integers a, b, and c such that a2+ b2 = c2. In the given limit L, find the number of Pythagorean triplets R that can be formed (such that a < b < c).

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How do you find Pythagorean triples in Python?
How do you find the Pythagorean triples in a given range?
What is Pythagorean triples explain with example?
What are the 4 most common Pythagorean triples?

For

L = 20, Pythagorean triples satisfying the condition a < b < c are (3, 4, 5), (6, 8, 10), (5, 12, 13), (9, 12, 15), (8, 15, 17), (12, 16, 20).Hence the output should be

6.

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In September 2022

Question #292913

A pythagorean triplet is a set of three integers a, b and c such that a**2+b**2=c**2.in the given limit L, find the number of pythagorean triplets R that can be formed (such that a<b<c).

Expert's answer

L=int(input("Enter a limit: "))
count=0
for a in range(1,L-1):
    for b in range(a+1,L):
        for c in range(b+1,L+1):
            x=a*a
            y=b*b
            z=c*c
            if (x+y==z):
                count+=1


print(count)

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#317368 on Feb 2022

This is a Python Program to determine all Pythagorean triplets till the upper limit.

Problem Description

The program takes a upper limit and determines all Pythagorean triplets till the upper limit.

Problem Solution

1. Take in the upper limit and store it in a variable.
2. Using a while loop and for loop, compute the Pythagorean triplets using the formula.
3. If the value of the c is greater than the upper limit or if any of the numbers is equal to 0, break from the loop.
4. Print all the three numbers of the Pythagorean triplets.
5. Exit.

Program/Source Code

Here is source code of the Python Program to determine all Pythagorean triplets till the upper limit. The program output is also shown below.

limit=int(input("Enter upper limit:"))
c=0
m=2
while(c<limit):
    for n in range(1,m+1):
        a=m*m-n*n
        b=2*m*n
        c=m*m+n*n
        if(c>limit):
            break
        if(a==0 or b==0 or c==0):
            break
        print(a,b,c)
    m=m+1

Program Explanation

1. User must enter the upper limit and store it in a variable.
2. The while and for loop is used to find the value of the Pythagorean triplets using the formula.
3. If the value of a side is greater than the upper limit or if any of the side is 0, the loop is broken out of.
4. Then the triplets are printed.

Runtime Test Cases

 
Case 1:
Enter upper limit:20
3 4 5
8 6 10
5 12 13
15 8 17
12 16 20 
 
Case 2:
Enter upper limit:35
3 4 5
8 6 10
5 12 13
15 8 17
12 16 20
7 24 25
24 10 26
21 20 29
16 30 34

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How do you find Pythagorean triples in Python?

Python Program to Find All Pythagorean Triplets in the Range.

Take in the upper limit and store it in a variable..

Using a while loop and for loop, compute the Pythagorean triplets using the formula..

If the value of the c is greater than the upper limit or if any of the numbers is equal to 0, break from the loop..

How do you find the Pythagorean triples in a given range?

If you square each number, subtract one square from the square greater than it, then square root this number, you can find Pythagorean Triples. If the result is a whole number, the two numbers and the square rooted number make up a Pythagorean Triple. For example, 24^2 = 576, and 25^2 = 625.

What is Pythagorean triples explain with example?

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.