In the given figure $ riangle ABC$ is shown. $DE$ is parallel to $BC$. If $AD = 5$ cm, $DB = 2.5$ cm and $BC = 12$ cm, then $DE$ is equal to

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Question

In the given figure $	riangle ABC$ is shown. $DE$ is parallel to $BC$. If $AD = 5$ cm, $DB = 2.5$ cm and $BC = 12$ cm, then $DE$ is equal to

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Accepted Answer

Step 1: By BPT, $\frac{AD}{AB} = \frac{DE}{BC} \Rightarrow \frac{5}{7.5} = \frac{DE}{12} \Rightarrow DE = \frac{5 	imes 12}{7.5} = 8$ cm

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