Question

If 24, x, 26 form a Pythagorean triplet with 26 being the largest number. The value of x is

• 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

So, ${24}^2+x^2={26}^2$

or, $x^2={26}^2-{24}^2$

or, $x=\sqrt{{26}^2-{24}^2}$

$x=\sqrt{676-576}$

or $x$ = 10