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In the given figure angle ADE=angle B , AD =6.8, AE=8.6, BE=2.4 AND BC =5.5, FIND DE.

 

 Dec 24, 2019
 #1
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Because  angle  ADE  = angle B  and   angle EAD  = angle BAC....then

 

Triangle ADE  is similar to triangle ABC

 

So

 

DE / AD  = BC / AB

 

DE / 6.8  =  5.5 / (8.6 + 2.4)

 

DE / 6.8  =  5.5 / 11 

 

DE / 6.8  = 1 / 2       multiply both sides by 6.8

 

DE =  6.8  / 2   =   3.4

 

 

cool cool cool

 Dec 25, 2019

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