Question

resolvam por favor, o valor de AB e AC :)

Answer 1

Iremos usar a semelhança de triângulos ADE ~ ABC

$\frac{AD}{AB} = \frac{AE}{AC}$  

Sendo:

AD= 2x+4

AB=AD+DB= 4x+8

AE=6

AC=AE+EC=6+2x

$\frac{2x+4}{4x+8} = \frac{6}{6+2x} = 12x +4x^2 +24 +8x=24x+48 \\ \\4x^2 -4x-24=0\\\\x= 3 \\ou, x=-2\\\\\\Logo:\\\\AB=4*3+8=20\\AC=6+2*3=12$