Question

The two figures are similar. What is the value of x?

Answer 1

Explanation:

Create a proportion between the sides of both triangles:

4 corresponds to 8 and 2x+2 corresponds to 12:

So, the proportion will be
`(4)/(8)=(2x+2)/(12)`.

Continue by simplifying the rest:

`(1)/(2)=(2x+2)/(12)`

Multiply by 12 on both sides (the 12 will cancel out with itself on the right side):

`12*(1)/(2)=2x+2`

`2x+2=6`

So, using basic algebra skills, we get that x = 2.

Check:

Is
`(4)/(8)=(6)/(12)` ?

Yes, it is!