Respuesta :

Answer:

ADB and ABC are similar

x = 8

Step-by-step explanation:

hypotenuse in ADB = [tex]\sqrt{4^2 + 2^2 } = \sqrt{20}[/tex]

since two triangles are similar,

[tex]\frac{2+x}{\sqrt{20} } = \frac{\sqrt{20}}{2}[/tex]

solving for x, x=8