Question

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

Answer 1

Answer:

$Value \: of \: AE = \frac{6\times 3}{BC}\\=\frac{18}{BC}$

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 2

Answer:

Step-by-step explanation:

By mid point theorem,BC=2DE=6cm

By similarity,DE/BC=AE/AC

So,AE=3cm