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In a triangle PQR, S and T are the points on PQ and PR respectively, such that ST || QR and PS / SQ = 3 / 5 , PR = 6 cm, then PT is
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- 2 cm
- 2.25 cm
- 3.5 cm
- 4 cm
- 2 cm
Correct Option: B
We draw a figure triangle PQR whose S and T are the points on PQ and PR respectively, 
In ∆PST and ∆PQR,
∠PST = ∠PQR (∵ ST || QR)
∠PTS = ∠PRQ
∴ By AA– similarity,
∆ PST ~ ∆PQR
| ∴ | = | ||
| PQ | PR |
| ⇒ | = | ||
| PS | PT |
| ⇒ | = | ||
| PS | PT |
| ⇒ 1 + | = | ||
| PS | PT |
| ⇒ 1 + | = | ||
| 3 | PT |
| ⇒ | = | ||
| 3 | PT |
⇒ 8 PT = 6 × 3
| ⇒ PT = | = | ||
| 8 | 4 |
∴ PT = 2.25 cm.
