Need help with math who is uppppp brainlest and points pls hurry

Answer:
[tex]The~triangles~AED~and~ABC~are~similar.\\So,\\\frac{AD}{AB} = \frac{DE}{BC} [Corresponding~sides~of~similar~triangles~are~proportional.]\\or, \frac{30}{15} = \frac{34}{x} \\or, x = \frac{15(34)}{30} = 17inches[/tex]