Question

Form the pythagorean triplet using the given number
a) 7
b) 11​

Answer 1

(7, 24, 25 ) and (11, 60, 61 )

Explanation:

To obtain the Pythagorean triplets for a given value n

n ,
`(n^2-1)/(2)` ,
`(n^2+1)/(2)`

(a) for n = 7 , then

`(7^2-1)/(2)` =
`(48)/(2)` = 24 ,
`(7^2+1)/(2)` =
`(50)/(2)` = 25

Triplet = (7, 24, 25 )

(b) for n = 11

`(11^2-1)/(2)` =
`(120)/(2)` = 60 ,
`(11^2+1)/(2)` =
`(122)/(2)` = 61

Triplet = (11, 60, 61 )