MCQ
24 In Fig, if $D E \| B C, A D=3 cm, B D=4 cm$ and $B C=14 cm$, then $D E$ equals
- A7 cm
- ✓6 cm
- C4 cm
- D3 cm
✓
Answer
Correct option: B.
6 cm
(B)6 cm
It is given that $D E \| B C$. Therefore,
$
\triangle A D E \sim \triangle A B C \Rightarrow \frac{A D}{A B}=\frac{D E}{B C} \Rightarrow \frac{3}{3+4}=\frac{D E}{14} \Rightarrow D E=6 cm
$
It is given that $D E \| B C$. Therefore,
$
\triangle A D E \sim \triangle A B C \Rightarrow \frac{A D}{A B}=\frac{D E}{B C} \Rightarrow \frac{3}{3+4}=\frac{D E}{14} \Rightarrow D E=6 cm
$
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