Question

If 24, $x$, 26 form a pythagorean triplet with 26 being the largest number, then find the value of $x$.

• A. 8
• B. 9
• C. 10
• D. 11

Answer 1

The correct option is C

10

Given that, 24, $x$, 26 form a Pythagorean triplet.

If three numbers form a pythagorean triplet, then the sum of the squares of two numbers is equal to the square of the third number.

$\text{So,}{24}^2+x^2={26}^2$
$x^2={26}^2-{24}^2$
$x^2=(26+24)(26-24)$
$x^2=100$
$x=10$

$\therefore$ The value of $x$ is 10.