Question

write a Pythagorean triplet whose smallest number is 6

Answer 1

Heya!! Here is your answer friend ⤵⤵

➡PYTHAGOREAN TRIPLET ⬅


Smallest member = 6

2m = 6

m= 3

$m {}^{2} + 1 \\ 9 + 1 \\ = 10 \\ \\ m {}^{2} - 1 \\ 9 - 1 \\ = 8$
Hence the triplet is 6 , 8 , 10.

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Hope it helps you ✌✌

Answer 2

We know that the pythagorean triplets are 2m, m²-1 & m²+1

So, the smallest one is 2m which is 6

$let \: 2m = 6 \\ \: \: \: \: \: \: \: \: \: \: \: m = \frac{6}{2} \\ \: \: \: \: \: \: \: \: \: \: \: m = 3$


1st no. = 2m
= 2(3)
= 6

2nd no. = m²-1
= (3)²-1
= 9-1
= 8

3 rd no. = m²+1
= (3)²+1
= 9+1
= 10

♦ Pythagorean triplets are 6, 8 & 10