Respuesta :

mhanifa

Answer:

  • 31 units

Step-by-step explanation:

Note: 3x + 8 is incorrect as leads to negative value for the length. Therefore changed to 3x - 8

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  • DE is midsegment
  • Midsegment = 1/2 Base as per definition, DE = 1/2AC

Substitute values

  • 3x - 8 = 1/2(4x + 10)
  • 3x - 8 = 2x + 5
  • 3x - 2x = 5 + 8
  • x = 13

DE = 3*13 - 8 = 31

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