For any three natural numbers to form a Pythagorean triplet, the sum of the squares of the two smaller numbers should be equal to the square of the third number Here, 3 2 4 2 = 5 2 7 2 24 2 = 25 2 5 2 12 2 = 13 2 8 2 2 ≠ 25 2 ∴ 8, , 25 do not form a Pythagorean triplet For example (3, 4, 5) is a Pythagorean Triplet as 3 2 4 2 = 5 2 Problem Statement Given a number (limit), we have to generate all the possible Pythagorean Triplets upto that number Method 1 This is the simple approach to generate Pythagorean Triplets The timecomplexity for this approach is O(n 3)Arnav knows that (3, 4, 5) and (5, 12, 13) are Pythagorean triples He wants to show that (15, , 25) is also a Pythagorean triple Besides using the converse of the Pythagorean theorem, is there another way Arnav can show that (15, , 25) is a Pythagorean triple?
Pythagorean Theorem An Overview Sciencedirect Topics
