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  1. 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
    1. 5 cm
    2. 6 cm
    3. 31
      cm.
      3
    4. 41
      cm.
      3
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,

PQ
=
PR
PSPT

8
=
PR
35

⇒ PR =
8 × 5
=
40
33

∴ SR = PR - PS =
40
- 3
3

SR = PR = PS =
40 - 9
=
31
cm.
33



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