Question

State whether the given statement is true or false:

9, 40, 41 is a Pythagorean triplet.

• A. True
• B. False

Answer 1

The correct option is A

True

Square of the respective given numbers are,

$9^2$ = $81$

${40}^2$ = $1600$

${41}^2$ = $1681$

We can observe that,

$9^2$ + ${40}^2$ = $9+1600$ = $1681$ = ${41}^2$

By the converse of Pythagoras Theorem, a triangle with sides 9, 40, 41 is right angled.

Thus, 9, 40, 41 is a Pythagorean Triplet.