MCQ
In the given figure if $D E \| B C$, then $x$ is equal to $-$
- A$17$
- B$15$
- ✓$11$
- D$19$
✓
Answer
Correct option: C.
$11$
Given: $D E \| B C$
$\therefore \frac{ AD }{ DB }=\frac{ AE }{ EC } $
$\Rightarrow \frac{4}{x-4}=\frac{8}{3 x-19}$ by using Thale's theorem
$\Rightarrow 12 x-76=8 x-32$
$\Rightarrow 4 x=44$
$\Rightarrow x=11$
$\therefore \frac{ AD }{ DB }=\frac{ AE }{ EC } $
$\Rightarrow \frac{4}{x-4}=\frac{8}{3 x-19}$ by using Thale's theorem
$\Rightarrow 12 x-76=8 x-32$
$\Rightarrow 4 x=44$
$\Rightarrow x=11$
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