In the figure., DE parallel BC. Find the length of AE.

1.	In the figure., DE parallel BC. Find the length of AE.
Answer» Answer: $Value \: of \: AE = \frac{<klux>6</klux>\times 3}{BC}\\=\frac{18}{BC}$ Step-by-step explanation: From the figure , DE //BC , AC = 6 cm, DE = 3 cm. ∆ABC ~ ∆ADE $\frac{AE}{AC}=\frac{DE}{BC}$ /Since , CORRESPONDING sides are in proportion / $\implies \frac{AE}{6}=\frac{3}{BC}$ $\implies AE = \frac{6\times 3}{BC}\\=\frac{18}{BC}$ THEREFORE, $Value \: of \: AE = \frac{6\times 3}{BC}\\=\frac{18}{BC}$ •••♪

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Answer:

$Value \: of \: AE = \frac{<klux>6</klux>\times 3}{BC}\\=\frac{18}{BC}$