Question

Write a Pythagorean Triplet with the smallest number as 18.


write answer with explanation ​

Answer 1

Step-by-step explanation:

2k, (k

2

+1) and (k

2

−1) form a Pythagorean triplet for any number, k > 1

Let 2k=18

Hence, k=9

and, k

2

+1=9

2

+1=81+1=82

and, k

2

−1=9

2

−1=81−1=80

Check the answers: 18

2

+80

2

=324+6400=6724=82

2

Hence, the triplet is 18,80,82