Question

in triangle ABC ,angle b=90,BD perpendicular AC.If AD=8cm and BD=4cm,then what is the corresponding Side of second triangle ​

Answer 1

Given #angleABC=90^@, BD# is perpendicular to #AC#, #BD=8, and AD=4#, as shown in the diagram.

Let #angleACB=x, =>angleCBD=90-x#

#=> angleABD=x, =>angleBAD=90-x#

#=> DeltaABC, DeltaADB, and DeltaBDC# are similar

#=> (BD)/(CD)=(AD)/(DB)#

#=> 8/(CD)=4/8#

#=> CD=(8xx8)/4=16#