in the figure , angle ABC = 90° and BD perpendicular AC . if BD = 8cm and AD =4cm , then find the value of CD .
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Given ∠ABC=90°,BD is perpendicular to AC, BD=8,and, AD=4, as shown in the diagram.
Let ∠ACB=x,⇒∠CBD=90−x
⇒∠ABD=x,⇒∠BAD=90−x
⇒ΔABC,ΔADB,andΔBDC are similar
⇒BD/CD=AD/DB
⇒8/CD=4/8
⇒CD=8×8/4=16
Let ∠ACB=x,⇒∠CBD=90−x
⇒∠ABD=x,⇒∠BAD=90−x
⇒ΔABC,ΔADB,andΔBDC are similar
⇒BD/CD=AD/DB
⇒8/CD=4/8
⇒CD=8×8/4=16
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