Question

Find the pythagoran triplet whose smallest number is 6

Answer 1

Answer:

6,8,10

Step-by-step explanation:

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Answer 2

For any natural number n>1
2n,n
2
−1,n
2
+1 forms a pythagoras triplet.
Here,the smallest number is 2n
Given,
2n=6
=>n=3
∴ Other are
n
2
−1=3
2
−1
=9−1
=8
And,
n
2
+1=3
2
+1
=9+1
=10
Again,
2n=16
=>n=8
∴ Other are
n
2
−1=8
2
−1
=64−1
=63
And,
n
2
+1=8
2
+1
=64+1
=65
Hence, pythagorean triplet with 6 as the smallest number is (6,8,10)

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