How to find Pythagorean triplets
Answers
Step-by-step explanation:
Pythagorean triples formula consist of three integers following the rules defined by the famous right-angled theorem or Pythagoras theorem. The proof for this theorem has already been given in our website. The list of these triples are usually mentioned as Pythagorean triples and is commonly written in the form of (a, b, c). And the triangle formed with these triples is called a Pythagorean triangle. We will learn more here in this article with the help of examples.
Pythagorean Triples Formula
The Pythagorean Theorem Formula is expressed as,
c2 = a2 + b2
Formula for Pythagorean Triples
To find the Pythagorean triples, the following formula is used. If a, b are two sides of the triangle and c is the hypotenuse, then, a, b, and c can be found out using this-
a = m2-n2
b = 2mn
c = m2+n2
These values result in a right-angled triangle with sides a, b, c.
Also, k.a, k.b and k.c are considered as the Pythagorean triple.
Notes:
(i) m, n and k are any two positive integers
(ii) m > n
(iii) m and n are coprime and both should not be odd numbers
Answer:
How to Form a Pythagorean Triplet
If the number is odd: Square the number N and then divide it by 2. Take the integer that is immediately before and after that number i.e. (N2/2 -0.5) and (N2/2 +0.5). ...
If the number is even: Take the half of that number N and then square it. Pythagorean triplet= N, (N/2)2-1, (N/2)2+1.