Question

Help please I need help

Answer 1

x = 4

Explanation:

Look at the picture.

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

`(AB)/(AC)=(AC)/(AD)`

We have:

`AB=2+6=8,\ AC=x,\ AD=2`

Substitute:

`(8)/(x)=(x)/(2)` cross multiply

`x^2=(8)(2)\\\\x^2=16\to x=√(16)\\\\x=4`