Question

Which of the following triplets are Pythagorean?

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

[Hint : Let the smallest even number be 2m and find m from it. Then, find (2m, m2

– 1,

m2

+ 1). If you get the triplet, it is Pythagorean.]

Another way of finding a Pythagorean triplet is:

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 and their difference is 2.​

Answer 1

Answer:

Therefore from the given set of triplets (3,4,5) and (10,25,26) are the Pythagorean triplets. So, the correct answer is “(3,4,5) and (10,25,26)