Question

Write a Pythagorean triplet if one no. is 14.

Answer 1

Pythagorean triplets are of the form 2m,m²-1 and m²+1

Given one number,that is 14

14 can not be in the form of m²-1 or m²+1 as we get the following result.

m²-1=14
m²=13;m=√13

m²+1=14
m²=15;m=√15
which cannot occur.

So,it is of the form 2m
2m=14
m=7

So,the other Pythagorean triplets are of the form m²-1 and m²+1
m²-1=7²-1
=49-1=48

m²+1=7²+1
=49+1=50

So,the three Pythagorean triplets are 14,48 and 50.