Respuesta :

gmany

Use the Pythagorean theorem:

[tex]x^2+8^2=16^2\\\\x^2+64=256\qquad\text{subtract 64 from both sides}\\\\x^2=192\to x=\sqrt{192}\\\\x=\sqrt{64\cdot3}\\\\x=\sqrt{64}\cdot\sqrt3\\\\\boxed{8\sqrt3}[/tex]