Question

write a pythagorean triplets whose one number is: 4,8,14,16,18​

Answer 1

Answer:

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are co-prime.

Step-by-step explanation:

2m,m  

2

+1,m  

2

−1 form a Pythagorean triplet for any number.  

(i) 2m=6

⇒m=3

So, Pythagorean triplets are  6,10,8

(ii) 2m=14

⇒m=7

So, Pythagorean triplets are 7,48,50

(iii) 2m=16

⇒m=8

So, Pythagorean triplets are 16,63,65

(iv) 2m=18

⇒m=9

So, Pythagorean triplets are  18,80,82