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Equal Intercept Theorem

In above figu...

Question

In above figure line $D E$ || line $B C$ , if $A D = 7, D B = 14$ and $E C = 12$ .
Find the value of $A E$ .

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Solution

The correct option is A $6$
$∵ D E | | B C$
$∴ \frac{A D}{D B} = \frac{A E}{E C} \Rightarrow A E = \frac{12}{2} = 6$

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