# Python Program to Find All Pythagorean Triplets in the Range

This Python program finds all Pythagorean triplets within a given range of positive integers. Pythagorean triplets are sets of three numbers that satisfy the Pythagorean theorem.

## Problem statement

Write a Python program that takes a range of positive integers as input and finds all the Pythagorean triplets within that range. The program should output the list of triplets found.

## Python Program to Find All Pythagorean Triplets in the Range

```def find_pythagorean_triplets(range_limit):
triplets = []
for a in range(1, range_limit+1):
for b in range(a+1, range_limit+1):
c = (a**2 + b**2) ** 0.5
if c.is_integer() and c <= range_limit:
triplets.append((a, b, int(c)))
return triplets

# Take user input for the range limit
range_limit = int(input("Enter the range limit: "))

# Find Pythagorean triplets within the given range
triplets = find_pythagorean_triplets(range_limit)

# Output the triplets
print("Pythagorean triplets within the range {}:".format(range_limit))
for triplet in triplets:
print(triplet)
```