These two triangles are similar and the conversion factor is 2/3. This can be found by dividing one side length corresponding to the other on the other triangle.
In this case, DF ~ AC
DF = 12
AC = 18
12/18 = 2/3
Knowing this, we can multiply 15 by 2/3 to find the length of DE because side lengths AB and DE are similar.
15 • 2/3 = 10
DE = 10
The ratio of the corresponding sides of the triangle will remain constant, then the length DE is 10. Then the correct option is D.
Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
ΔABD and ΔDEF are similar triangles.
Then the ratio of the corresponding sides of the triangle will remain constant. Then we have
[tex]\rm \dfrac{x}{15} = \dfrac{12}{18}\\\\\\x \ \ = \dfrac{12 \times 15}{18}\\\\\\x \ \ = 10[/tex]
More about the triangle link is given below.
https://brainly.com/question/25813512
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