Question

If 8, x, 17 form a Pythagorean triplet with 17 being the largest number. The value of x is _____.

• A. 8
• B. 9
• C. 10
• D. 15

Answer 1

The correct option is D

15

Given that, $8,x,17$ form a Pythagorean triplet.

$\therefore 8^2+x^2={17}^2$

$\Rightarrow x^2={17}^2-8^2$

$\Rightarrow x=\sqrt{{17}^2-8^2}$

$\Rightarrow x=\sqrt{289-64}$

$\Rightarrow x=\sqrt{225}$

$\Rightarrow x$ = 15