According to the line problems described, after computation, DE is found to be equal to 12. Please see attached image.
It is stated that AC ≅ DB
Hence, AC = DB
Recall that CB = 3DB; and
AD = AC + CD
Thus,
= DB + CD
= CB
= 3DB
= 15
Hence
DB = 5
Recall that DE = DB + BE
Hence
DE = 5 + 7
DE = 12
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