Does your text include something like this? (It was called the "SideSplitter Theorem" in the geometry book I taught out of years ago):
If a line parallel to one side of a triangle intersects the other two sides, it divides those sides in segments which are proportional.
So, in your diagram, since line DE is parallel to line BC,
AD / DB = AE / EC
You're given expressions for the lengths of each of those segments. Can you solve for x? Once you have the value of x you should be able to find the lengths you're asked for.
Since DE and BC are parallel and both the triangles ADE and ABC have a common included angle A, therefore they are similar triangles. Now follow my work.
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