In the given figure 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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Solution

Q.
In the given figure $∆ A B C$ is shown. DE is parallel to BC. If AD = 5 cm, DB = 2.5 cm and BC = 12 cm, then DE is equal to

1 10 cm

2 6 cm

3 8 cm

4 7.5 cm

Ans.
(3)

$A D = 5 cm$

$D B = 2.5 cm$

$B C = 12 cm$

$D E ∥ B C$

$∆ A B C ~ ∆ A D E$

$\Rightarrow \frac{A D}{A B} = \frac{D E}{B C} \Rightarrow \frac{5}{7.5} = \frac{D E}{12} \Rightarrow D E = \frac{60}{7.5} = 8 cm$

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