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In the diagram, angles \(ABC\) and \(ADE\) are right angles. If \(AC = 35\)\(AE = 11\), and\(BE = 10\) , then what is \(AD\)?




 Feb 22, 2019
 #1
avatar+103120 
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Note that angle A =angle A

And angle CBA = angle EDA

So...by AA congruency....triangle CBA is similar to triangle EDA

 

[ Since BE = 10 and AE = 11, then BA = 21  ]

 

So...this implies that

 

BA / CA = DA / EA

 

21 / 35  =  DA  / 11     multiply both sides by 11

 

11 * 21 / 35 = DA

 

6.6  =  DA

 

 

cool cool cool

 Feb 22, 2019

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