# Zig Zag Zig Zag

Geometry Level 4

An infinite series of similar triangles converge to a point C . If $$\overline{AE} = 16 , \overline{ED} = 8$$ . Denote $$x$$ as the sum of all the vertical segments: $$\overline{AE} + \overline{BD} + \ldots$$

Find the value of $$x$$.

×