Question

find a Pythagorean triplet whose one number is 12.

Answer 1

12,5,13 form a pythagorean triplet.
As, according to pythogorean law
12²+5²=13² so 12,5,13 form a tiplet.

Answer 2

Answer:

The Pythagoras triplets are 12, 35, 37.

Step-by-step explanation:

To know :

A Pythagorean triplet has 3 positive integers of a, b, c such that $a^{2}+b^{2}+c^{2}=0$

General form: 2m, $m^{2}-1, m^{2}+1$

Given: 2m=12

To find m shift the 2 to the other side and write it in the denominator

m=12/2=6

When we get the value of m substitute the value in general form of the Pythagorean triplet

Therefore $m^{2}-1=6^{2}-1$  [Squaring the value of m and subtract it to 1]

 =36-1

 =35

Similarly $m^{2}+1=6^{2}+1$

=36+1

=37

Hence the Pythagorean triplets are 12, 35, 37