Question

8.
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.m. - 1.
m2 + 1). If you get the triplet, it is Pythagorean.)
Another way of finding a Pythagorean triplet is:
If'a','b' and 'd' are three natural numbers with 'a' as the smallest of them, then,
(i) If 'a' is odd, sum of other two numbers is a? and their difference is 1.
a2
(ii) If 'a' is even, sum of other two numbers is and their difference is 2.
2​

Answer 1

Answer;

HEY MATE HERE IS UR ANSWER

Explanation:

Let the smallest even number be 2m

(i) (3,4,5)

2m=4⇒m=2

m2 −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

m2−1=1−1=0

m2+1=1+1=2

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

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