Question

Which of the following options are Pythagorean triples?

• A. $(7,15,17)$
• B. $(4,5,8)$
• C. $(9,40,41)$
• D. $(24,6,26)$

Answer 1

The correct option is C $(9,40,41)$

It establishes the relationship between the three sides of the triangle. If the longest side (called the hypotenuse) is $r$ and the other two sides (next to the right angle) are $p$ and $q$, then $p^2+q^2=r^2$
Therefore, considering the triplets $(9,40,41)$
$9^2+{40}^2={41}^2$
$⟹81+1600=1681$
$⟹1681=1681$
So, among the given triplets, only $(9,40,41)$ satisfies the above mentioned condition.