Question

The pythagorean triplet whose smallest number is 12 is .

• A. 12, 13, 18
• B. 12, 35, 37
• C. 12, 40, 48

Answer 1

The correct option is B 12, 35, 37

For any natural number m$>$1, the Pythagorean triplet adheres to $(2m{)}^2+(m^2-1{)}^2=(m^2+1{)}^2$.
Given, smallest number is 12,
$2m=12orm=6$.
$m^2+1=6^2+1=36+1=37$
$m^2-1=6^2-1=36-1=35$
$\therefore$ The Pythagorean triplet is 12, 35, 37.