Question

If $24,x,26$ form a Pythagorean triplet with $26$ being the largest number, find $x$ ?

• A. 8
• B. 9
• C. 10
• D. 11

Answer 1

Answer: (C)

Given:

$24,x,26$ 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.
$\Rightarrow {24}^2+x^2={26}^2$

$\Rightarrow x^2={26}^2-{24}^2$

$\Rightarrow x^2=(26+24)(26-24)$

$\Rightarrow x^2=50\times 2$

$\Rightarrow x^2=100$

$\Rightarrow x^2={10}^2$

$\Rightarrow x=10$
The value of $x$ is $10$.