Respuesta :

Answer:

C. 18

Step-by-step explanation:

Both triangle are same (compared with angles), but are different size.

This is based on simple ratio.

AB/AC = DE/DF

27/15 = x/10 //Multiply both sides by 10

270/15 = x

x = 18

Therefore DE is 18.

Hence, the length of DE is 18.

What is length?

Length is defined as the measurement or extent of something from end to end. In other words, it is the larger of the two or the highest of three dimensions of geometrical shapes or objects.

How to solve?

It can be observed that the given 2 triangles are similar.

we know, for similar triangles, the ratio of corresponding sides is equal.

Hence,

          [tex]\frac{15}{10} = \frac{27}{x}[/tex]

          [tex]x = 18[/tex]

Therefore, the value of x is 18.

to learn more about length: https://brainly.com/question/18077445

#SPJ2