Answer:
(7, 24, 25 ) and (11, 60, 61 )
Step-by-step explanation:
To obtain the Pythagorean triplets for a given value n
n , [tex]\frac{n^2-1}{2}[/tex] , [tex]\frac{n^2+1}{2}[/tex]
(a) for n = 7 , then
[tex]\frac{7^2-1}{2}[/tex] = [tex]\frac{48}{2}[/tex] = 24 , [tex]\frac{7^2+1}{2}[/tex] = [tex]\frac{50}{2}[/tex] = 25
Triplet = (7, 24, 25 )
(b) for n = 11
[tex]\frac{11^2-1}{2}[/tex] = [tex]\frac{120}{2}[/tex] = 60 , [tex]\frac{11^2+1}{2}[/tex] = [tex]\frac{122}{2}[/tex] = 61
Triplet = (11, 60, 61 )
