Question

find a Pythagorean triplet whoseone member is 6 ​

Answer 1

The Pythagorean Triplet whose member is 6 is 3 , 5 , 6

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Answer 2

Answer:

Pythagorean triplet is 6,8,10

Step-by-step explanation:

Given,

the Pythagorean triplet whose one member is 6

Proof,

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

VERIFICATION

$6^{2}$ + $8^{2}$ = $10^{2}$

$36 + 64 = 100$

$100 = 100$

hence proved