Question

Write the Pythagorean triplet whose one member is $42.$

• A. $440$ and $442$
• B. $444$ and $446$
• C. $441$ and $443$
• D. None of these

Answer 1

The correct option is A $440$ and $442$

Solution:

General form of pythagorean triplets are $m^2-1,2m,m^2+1$

First member of triplet $a=2m=42\Rightarrow m=21$

So, second member of triplet $b={\left(m\right)}^2-1={21}^2-1=441-1=440$

And third member of triplet $c=m^2+1=441+2=442$

Hence, A is the correct option.