Question

In figure DE$\parallel$BC,AD=2.4cm,AE=3.2cm, CE=4.8cm The value of BD is

• A. 3.6 cm
• B. 4.2 cm
• C. 4.0 cm
• D. None of these

Answer 1

Answer: (A)

3.6 cm

In $△ABC$ we have $DE\parallel BC$

$\therefore \frac{AD}{BD}=\frac{AE}{EC}$ [by basic proportionality theorem]

$\Rightarrow \frac{2.4}{BD}=\frac{3.2}{4.8}$

$\Rightarrow BD=\frac{2.4\times 4.8}{3.2}=3.6cm$