Question

The following triangles are similar. Find side AB.

2


4


10


12

Answer 1

4

Explanation:

Set up ratios of corresponding sides. x+2 is to 6 as 2 is to 3:

`(x+2)/(6)=(2)/(3)`

Now cross multiply to get

3(x + 2) = 12 and

3x + 6 = 12 so

3x = 6 and

x = 2. That means that side AB, x + 2, is 2 + 2 which is 4