Question

find a Pythagorean triplet whose one number is 12.​

Answer 1

Answer:

2,2,2

Step-by-step explanation:

2²=4

2²=4

2²=4

4+4+4=12

Answer 2

If we take

${m}^{2} - 1 = 12$

Then,

${m}^{2} = 12 + 1 = 13$

Then the value of m will not be an integer

So we try to take,

${m}^{2} + 1 = 12$

Again,

${m}^{2} = 11$

will not give an integer value for m

So let us take 2m = 12

then m=6

Thus

${m}^{2} - 1 = 36 - 1 = 35$

and

${m}^{2} + 1 = 36 + 1 = 37$

Therefore the required triplet is 12, 35, 37.

All Phythagorean triplets may not be obtained using this form .For example another triplet 5, 12, 13 also has 12 as a member