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In the given figure, $ABCD$ is a parallelogram. $AE$ divides the line segment $BD$ in the ratio $1 : 2$. If $BE = 1.5$cm, then find the length of $BC$.
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$$\begin{aligned}& \triangle OBE \sim \triangle ODA \\ & \frac{OB}{OD} = \frac{BE}{AD} \\ & \Rightarrow \frac{1}{2} = \frac{BE}{BC}\end{aligned}$$ (AD = BC)
$BE = 1.5$ cm $\Rightarrow BC = 3$ cm
$BE = 1.5$ cm $\Rightarrow BC = 3$ cm