MCQ
The perimeter of $\triangle\text{PQR}$ in the given figure is :
- A$15\ cm$
- B$60\ cm$
- C$45\ cm$
- ✓$30\ cm$
✓
Answer
Correct option: D.
$30\ cm$
Since Tangents from an external point to a circle are equal.
$\therefore\text{PA}=\text{PB}=4\text{ cm,}$
$\text{BR} = \text{CR} = 5\text{ cm}$
$\text{CQ} = \text{AQ }= 6 \text{ cm}$
Perimeter of $ \angle\text{PQR} = \text{PQ} + \text{QR} + \text{RP}$
$= PA + AQ + QC + CR + BR + PB$
$= 4 + 6 + 6 + 5 + 5 + 4 = 30\ cm$
$\therefore\text{PA}=\text{PB}=4\text{ cm,}$
$\text{BR} = \text{CR} = 5\text{ cm}$
$\text{CQ} = \text{AQ }= 6 \text{ cm}$
Perimeter of $ \angle\text{PQR} = \text{PQ} + \text{QR} + \text{RP}$
$= PA + AQ + QC + CR + BR + PB$
$= 4 + 6 + 6 + 5 + 5 + 4 = 30\ cm$
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