Question

triplets:- (3,4,5), (6,7,8), (10,24,26), (2,3,4)

solve it with this method:-
if 'a','b' and 'c' are three natural numbers with 'a' as the smallest of them, then,

i) if 'a' is odd, sum of other two numbers is a² and their difference is 1.
ii) if 'a' is even, sum of other two numbers is a²/2 and their difference is 2.
_________

now I will never come in this app bye forever ಥ_ಥ​

Answer 1

Explanation:

Let the smallest even number be 2m

(i) (3,4,5)

2m=4

⇒m=2

m

2

−1=4−1=3

m

2

+1=4+1=5

∴(3,4,5) is a Pythagorean triplet.

(ii) (10,24,26)

2m=10

⇒m=5

m

2

−1=25−1=24

m

2

+1=25+1=26

∴(10,24,26) is not a Pythagorean triplet.

(iii) (6,7,8)

2m=6

⇒m=3

m

2

−1=9−1=8

m

2

+1=9+1=10

∴(6,7,8) is not a Pythagorean triplet.

(iv) (2,3,4)

2m=2

⇒m=1

m

2

−1=1−1=0

m

2

+1=1+1=2

∴(2,3,4) is not a Pythagorean triplet.