Question

In figure, $DE\parallel BC$. Find the length of $EC$.

• A. $3cm$
• B. $4.5cm$
• C. $1.5cm$
• D. $2cm$

Answer 1

The correct option is D $2cm$

In figure $DE\parallel BC$
$\Rightarrow$ $\frac{AD}{DB}=\frac{AE}{EC}$ (By basic proportionality theorem)
$\Rightarrow$ $\frac{1.5}{3}=\frac{1}{EC}$
($\because AD=1.5cm,DB=3cm$ and $AE=1cm$)
$\Rightarrow$ $EC=\frac{3}{1.5}=2cm$.