Respuesta :

gmany

Answer:

x = 8

Step-by-step explanation:

Look at the picture.

ΔABC and ΔACD are similar. Therefore corresponding sides are in proportion:

[tex]\dfrac{AB}{AC}=\dfrac{AC}{AD}[/tex]

We have

[tex]AB=2+6=8,\ AC=x,\ AD=2[/tex]

Substitute:

[tex]\dfrac{8}{x}=\dfrac{x}{2}[/tex]          cross multiply

[tex]x^2=(8)(2)\\\\x^2=16\to x=\sqrt{16}\\\\x=8[/tex]

Ver imagen gmany