Question

Find the Pythagorean triplet whose smallest number is 8.
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Answer 1

Step-by-step explanation:

We can get Pythagorean triplet by using general form 2m, m

2

−1, m

2

+1

Let us first take

m

2

−1=8

So, m

2

=8+1=9

Which gives m=3

Therefore 2m=6 and m

2

+1=10

The triplet is thus 6,8,10, but 8 is not the smallest member of this triplet.

So let us try

2m=8

then m=4

We get m

2

+1=16−1=15

and m

2

+1=16+1=17

The triplet is 8,15,17 with 8 as the smallest member.

Answer 2

Hope this helps you.....