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  • 15-03-2022
  • Mathematics
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devishri1977
devishri1977 devishri1977
  • 15-03-2022

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]

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