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In ∆PQR, S and T are points on sides PR and PQ respectively such that ∠PQR = ∠PST. If PT = 5 cm, PS = 3 cm and TQ = 3 cm, then length of SR is
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- 5 cm
- 6 cm
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31 cm. 3 -
41 cm. 3
- 5 cm
Correct Option: C
As per the given in question , we draw figures of two similar triangles PQR and PST 
Here , PT = 5 cm, PS = 3 cm and TQ = 3 cm
∠PQR = ∠PST
∠P = ∠P
∴ ∆PST and ∆PQR are similar,
| ∴ | = | ||
| PS | PT |
| ⇒ | = | ||
| 3 | 5 |
| ⇒ PR = | = | ||
| 3 | 3 |
| ∴ SR = PR - PS = | - 3 | |
| 3 |
| SR = PR = PS = | = | cm. | ||
| 3 | 3 |
