Question

The two triangles are similar. find x showing the proportion and all work.

Answer 1

We need to write a proportion.

6/2 = (x+2)/x

3 = x² +2x

x² + 2x - 3 =0

(x + 3)(x - 1) = 0

x= -3, x= 1

Because we need to find length x, a length cannot be negative.

So, x = 1.