Question

In $△ABC,\angle ABC={90}^o,BD\perp AC$ If $BD=8$ cm, $AD=4$ cm, find $CD$

Answer 1

In $△ABC$, it is given that $\angle ABC={90}^0$, $BD\perp AC$, $BD=8$ cm and $AD=4$ cm, therefore,

$D{B}^2=AD\times CD\Rightarrow 8^2=4\times CD\Rightarrow 64=4\times CD\Rightarrow CD=\frac{64}{4}=16$

Hence $CD=16$ cm.