BD 8 cm and AD 4 cm Find CD. – InterviewSolution

1.

BD 8 cm and AD 4 cm Find CD.

Answer»

Given∠ABC=90°,BDis perpendicular toAC,BD=8,and, AD=4, as shown in the diagram.

Let∠ACB=x,⇒∠CBD=90−x

⇒∠ABD=x,⇒∠BAD=90−x

⇒ΔABC,ΔADB,andΔBDCare similar

⇒BD/CD=AD/DB

⇒8/CD=4/8

⇒CD=8×8/4=16

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