Answer:
9 m
Step-by-step explanation:
ΔABC and ΔADE are similar. That means:
the sides corresponding to each other are proportional.
We can set up ratio for two triangle and solve for DE.
AB corresponds to AD (AB + BD)
and
BC corresponds to DE
Now, lets setup a ratio:
Now we substitute the values known and solve for DE. Process is shown below:
hence, the length of DE is 9 m