Question

Find any two Pythagorean Triplet. Write the Proof for it.

Answer 1

Step-by-step explanation:

If we take m2-1=12                  

Then m2=12+1=13                        

Then the value of m will not be an integer 

So we try to take m2+1=12 Again m2=11 will not give an integer value for m 

So let us take 2m = 12

then m=6

Thus m2−1=36−1=35  and   m2+1=36+1=37

Therefore the required triplet is 12, 35, 37 

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