#solved

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vagrant ermineBOT
fervent haven
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given: ABDC is a trapezoid, Area of triangle CDE = S, Area of triangle AEB = S+6, DB = 3. find AC's lenght

stoic stump
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AC =5

fervent haven
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show your work?

stoic stump
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i use area to find AB-CD=4

fervent haven
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but how

stoic stump
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EDB = DBA-EAB and EDB = CDB-CED

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EDB = DBA-EAB=> EDB= ( 1/2* 3* AB) - ( S-6)

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EDB = CDB-CED => EDB = ( 1/2 3CD) -S

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EDB=EDB=> 1/2 3 AB -6= 1/2 3 CD

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divide both sides for 3/2 you will have AB -CD=4

fervent haven
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oh my god i understand it now tysm