In the given figure, $DE \parallel BC$. If $AD = 3$ cm, $AB = 7$ cm and $EC = 3$ cm, then the length of $AE$ is

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In the given figure, $DE \parallel BC$. If $AD = 3$ cm, $AB = 7$ cm and $EC = 3$ cm, then the length of $AE$ is

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Accepted Answer

Step 1: By BPT, $\frac{AD}{DB} = \frac{AE}{EC}$. $DB = AB - AD = 7 - 3 = 4$ cm. $\frac{3}{4} = \frac{AE}{3} \Rightarrow AE = \frac{9}{4} = 2.25$ cm.

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