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