MCQ
In given figure, $P Q \| B C$. Find $A B \ ($in $\ cm).$
- A$2$
- B$5$
- C$4$
- ✓$6$
✓
Answer
Correct option: D.
$6$
Given $, P Q \| A C$
$\therefore \frac{A P}{B P}=\frac{A Q}{C Q}\ ($By Thales theorem$)$
$\Rightarrow \frac{2.4}{B P}=\frac{2}{3} $
$\Rightarrow B P=\frac{2.4 \times 3}{2}=3.6 \ cm$
$A B=A P+B P$
$=2.4+3.6=6 \ cm$
$\therefore \frac{A P}{B P}=\frac{A Q}{C Q}\ ($By Thales theorem$)$
$\Rightarrow \frac{2.4}{B P}=\frac{2}{3} $
$\Rightarrow B P=\frac{2.4 \times 3}{2}=3.6 \ cm$
$A B=A P+B P$
$=2.4+3.6=6 \ cm$
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