Answer :

The line segment EF has a length of 26.

What are examples of line segments?

The ends of a line segment are two. These endpoints as well as every point on the line that connects them are contained within it. A segment's length can be measured, while a line's length cannot.

                          The names of a segment's two endpoints, such as AB, are used to identify it. A ray is a portion of a line that has a single endpoint and extends in one direction alone indefinitely.

From the given data

Line segment DF has a length 38 and line segment DE has a length 12.

To find the length of line segment EF we have to subtract the length of line segment DE from length segment DF.

∴ EF = DF - DE

 EF = 38 - 12'

 EF = 26.

So, the line segment EF has a length of 26.

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