In the following figure, DE || BC. Find the length of EC.

1.5 cm

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2 cm

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2.5 cm

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3 cm

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Solution

The correct option is B 2 cm
In $Δ A B C, D E | | B C$ (Given)
$∴ \frac{A D}{D B} = \frac{A E}{E C}$ [By using Basic proportionality theorem]
$\Rightarrow \frac{1.5}{3} = \frac{1}{E C}$
$\Rightarrow E C = \frac{3}{1.5}$
$E C = 3 \times \frac{10}{15} = 2 c m$

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