For similar
triangles, all corresponding sides have the same ratio.
The
corresponding sides face the corresponding angles
We can
calculate lengths we don't know yet.
[tex]\it \dfrac{x}{8} = \dfrac{9}{2x} \Rightarrow 2x\cdot x = 8\cdot9|_{:2} \Rightarrow x\cdot x= 4\cdot9\Rightarrow x\cdot x = 36 \Rightarrow x = 6 [/tex]
