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Wednesday, 04 March 2026
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In the diagram, QPS = SPR, PR = 9cm. PQ = 4cm and QS = 3cm, find SR.



In the diagram, QPS = SPR, PR = 9cm. PQ = 4cm and QS = 3cm, find SR.
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  • A 6\(\frac{3}{4}\)cm
  • B 3\(\frac{3}{8}\)cm
  • C 4\(\frac{3}{8}\)cm
  • D 2\(\frac{3}{8}\)cm
Correct Answer: Option A
Explanation:
Using angle bisector theorem: line PS bisects angle QPR
QS/QP = SR/PR
3/4 = SR/9
4SR = 27
SR = \(\frac{27}{4}\)
= 6\(\frac{3}{4}\)cm

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