Question

Find the pythagorean triplet of 6 .

Answer 1

1

Primary SchoolMath 5 points

Find Pythagorean triplet of 6

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Answers

brainlyharshit11

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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.

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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

Answer 2

Answer:

6 , 8 and 10 .

Step-by-step explanation:

Let the numbers be m and n .

m , n > 0

m² + 6² = n²

= > m² + 36 = n²

= > 36 = m² - n² = ( m + n )( m - n )

36 = 9 × 4

36 = 18 × 2

36 = 6 × 6

36 = 12 × 3

So m + n and m - n cannot be 6 ... so last one is cancelled .

Trial and error

m + n = 12

m - n = 3

= > 2 m = 15

m is not an integer .

Only m + n = 18 is correct .

m + n = 18

m - n = 2

2 m = 20

= > m = 10

n = 2

Hence m + n = 12 , m - n = 36

m² = 100

Hence n² = 100 - 6² = 100 - 36 = 64

The triplets are 6 , 8 and 10 .