Please solve this?

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1 Answer
Apr 14, 2018

C) 5

Explanation:

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Given AB=AC, and angleADB=90^@
=> BD=DC
DeltaCHE, DeltaCAD, DeltaBAD and DeltaBFE are all similar,
=> (CE)/(HE)=(BE)/(FE), => (CE)/2=(BE)/8, => BE=4CE,

Let CE=a, => BE=4a, => BC=BE+EC=5a,
=> BD=DC=(BC)/2=(5a)/2
=> x/(BD)=(FE)/(BE)
=> x=BD*(FE)/(BE)=(5a)/2*8/(4a)=5

Footnotes : DeltaBAD and DeltaCAD are actually congruent. :)