In the figure above, find the missing length DE assuming BC is parallel to DE.

10 cm

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12 cm

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24 cm

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20 cm

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Solution

The correct option is B
12 cm

Note that $△ A B C \sim △ A D E$ by AAA Similarity Criterion

$\Rightarrow \frac{A C}{A E} = \frac{B C}{D E}$

$\Rightarrow \frac{2}{4} = \frac{6}{D E}$

$\Rightarrow 2 \times D E = 4 \times 6$

Thus, $D E = 12$ cm

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Similar questions

In the figure, AE & BC intersect each other at D. If ∠CDE = 90^o, AB = 5 cm, BD = 4 cm & CD = 9 cm. Find DE.

c m^{2}

D E ∥ B C

E C

△ A B C

c m^{2}

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