Question

find Pythagorean triplet of 6

Answer 1

If a, b, c is a Pythagorean triplet, then ka, kb, kc will also form a Pythagorean triplet; where k= integer. As (3, 4, 5) is a triplet, (6,8,10), (9,12,15),(12,16,20),...(30,40,50), all these will also be triplets. Three numbers which satisfyPythagorean Theorem form a Pythagorean Triplets.

Answer 2

Hi there !!
Here's your answer

Given,
To find the Pythagorean triplet whose one member is 6

We have,
2m, m²-1 and m²+1

So,
let's try m²-1=6
m²=7
m=✓7
The value of m won't be an integer

So,
Let's try for 2m = 6
m = 6/2
m = 3
Here the value of m will be an integer, so , m=3 is possible

Therefore,
2m = 6
m²-1=3²-1=8
m²+1=3²+1=10

Thus,
The Pythagorean triplet is 6,8 and 10

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Hope it helps :D