Answer:

BC=20

EC=24

AC=36

Step-by-step explanation:

Triangle Similarity Theorems

•If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional. ...

•If three parallel lines intersect two transversals, then they divide the transversals proportionall

•using this theorem, we can find the missing side lengths of the given triangles.

By finding BC

We get:

x=BC

since that

thus,

therefore,

BC=20

by finding EC

we get:

x=EC

since that

thus,

Therefore,

EC=24

By finding AC,

Since that,

we get,

AE=12

EC=x

x=24

thus,

therefore,

AC=36

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