The length of similar triangle segment DF is 24.
What is similar triangle?
Triangles that are "similar due to the equality of corresponding angles and the proportional similarity of the corresponding sides".
According to the question,
In triangle ABC, segment AC = 6 is corresponding to the triangle DEF,
with segment DE = 18.
Using Conditions for Triangle Similarity we have [tex]\frac{AB}{DE}[/tex] = [tex]\frac{18}{6}[/tex] = 3.
We get, Scaling factor is 3.
In order to find, the length of segment DF multiply 8 by 3.
= (8)(3)
=24.
Hence, The length of similar triangle segment DF is 24.
To learn about similar triangle here
https://brainly.com/question/11934751
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