Answer:
DB = 32
Step-by-step explanation:
Given :
⇒ C is the midpoint of the line AB
⇒ E is the midpoint of the line DC
⇒ AE = 16
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Understanding :
⇒ AC = BC = 1/2AB
⇒ AD = DC = 1/2AC = 1/4AB
⇒ DE = 1/2AD = 1/4AC = 1/8AB
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Finding AB :
⇒ AE = AD + DE
⇒ 16 = 1/4AB + 1/8AB
⇒ 3/8AB = 16
⇒ AB = 16 x 8 / 3
⇒ AB = 128/3
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Finding DB :
⇒ DB = DC + CB
⇒ DB = 1/4AB + 1/2AB
⇒ DB = 3/4AB
⇒ DB = 3/4 × 128/3
⇒ DB = 128/4
⇒ DB = 32
