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$\begin{array}{l}: \ln \triangle ABC , DE \| BC \\ \therefore \frac{ AD }{ DB }=\frac{ AE }{ EC } \ldots . . \text { Basic proportionality theorem } \\ \therefore \frac{1.8}{5.4}=\frac{ AE }{7.2} \\ \therefore AE \times 5.4=1.8 \times 7.2 \\ \therefore AE =\frac{1.8 \times 7.2}{5.4}=2.4 \\ AE =2.4 cm \end{array}$
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