Question

In the given figure, $\angle ABC={90}^o$ and $BD\perp AC$
If AB=5.7 cm, BD=3.8 cm and CD=5.4 cm,find BC.\
$[\Delta ABC\sim \Delta BDC\Rightarrow \frac{AB}{BD}=\frac{BC}{DC}]$

Answer 1

$\frac{AB}{BD}=\frac{BC}{DC}$

$\frac{5.7}{3.8}=\frac{BC}{5.4}$

$\frac{3}{2}\times \frac{5.4}{10}=BC$

$BC=\frac{81}{10}$

$BC=8.1cm$