Given that point $E$ lies between points $D$ and $F$ on segment $DF$, we can find the length of $DF$ by adding the lengths of $DE$ and $EF$.

The relationship is:

$DF = DE + EF$

We are given:

• $DE = 8$
• $EF = 14$

Now, substitute these values into the equation:

$DF = 8 + 14 = 22$

So, the length of $DF$ is $22$ units.

Would you like more details on this? Here are 5 related questions that might interest you:

1. What is the length of $DF$ if $DE = 5$ and $EF = 9$?
2. If $E$ is the midpoint of $DF$, what are the lengths of $DE$ and $EF$ when $DF = 30$?
3. If $DE = x$ and $EF = x + 6$, what is the length of $DF$ in terms of $x$?
4. What is the length of $EF$ if $DF = 20$ and $DE = 7$?
5. How does changing the position of $E$ affect the lengths of $DE$ and $EF$?

Tip: For any three points on a line where one point is between the other two, the length of the entire segment is the sum of the lengths of the two smaller segments.