If ABC is a triangle in which DE ‖ BC and AD ∶ DB = 9 ∶ 8, then DE : BC is _________.
Answer & explanation
Correct answer: option 1
In triangle ABC, AD/DB = 9/8
= \(\frac{ AD }{AB}\) = \(\frac{ DE }{BC}\)
= \(\frac{ 9 }{9 + 8}\) = \(\frac{ DE }{BC}\)
= \(\frac{ 9 }{17}\) = \(\frac{ DE }{BC}\)
The ratio = 9 : 17