Question

In $△ABC$, $DE||BC$ and $\frac{AD}{DB}=\frac{2}{3}$.
Find the length of $EC$, if the length of $AE$ is 4 units.

• A. 6 units
• B. 4 units
• C. $\frac{8}{3}$ units
• D. $\frac{3}{4}$ units

Answer 1

The correct option is A 6 units

Since, $DE||BC$

From Basic Proportionality Theorem,
$⟹\frac{AD}{DB}=\frac{AE}{EC}$ ---(1)

Given, $AE=4$
From (1)
$\frac{AD}{DB}=\frac{2}{3}=\frac{4}{EC}$

$⟹EC=6$ units