Question
In $\triangle ABC,$ point $D$ divides $AB$ in the ratio $5:7,$ Find: $BC,$ If $DE = 2.5\ cm$
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Answer
Considering $DE \| BC$
Since $DE \| BC$
$ \frac{ AD }{ AB }=\frac{ DE }{ BC }$
$\Rightarrow \frac{2}{12}=\frac{2.5}{ BC }$
$\Rightarrow BC =\frac{2.5 \times 12}{5}$
$\Rightarrow BC =6 \ cm . $
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