Show that (3,4,5) is the ONLY Pythagorean triple involving consecutive positive integers Hint To prove this, do NOT replace x with any specific numbers Instead, take x, (x 1), and (x 2) (which are consecutive numbers), and let those be the values of a, b, and c in the Pythagorean TheoremFor 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 Given an array of integers, write a function that returns true if there is a triplet (a, b, c) that satisfies a 2 b 2 = c 2 Example Input arr = {3, 1, 4, 6, 5} Output True There is a Pythagorean triplet (3, 4, 5)
Pythagorean Triple Wikiwand
