Respuesta :

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio.

AD = 14 + 8 = 22

[tex]\dfrac{AD}{AB}=\dfrac{DE}{BC}=\dfrac{AE}{AC}\\[/tex]

[tex]\dfrac{AD}{AB}=\dfrac{DE}{BC}\\\\\\\dfrac{22}{14}=\dfrac{DE}{10}\\\\\\\dfrac{22}{14}*10=DE\\\\\\DE = 15.71[/tex]