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In the diagram, QPS = SPR, PR = 9cm. PQ = 4cm and QS =...

Mathematics
JAMB 1993

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

  • A. 6\(\frac{3}{4}\)cm
  • B. 3\(\frac{3}{8}\)cm
  • C. 4\(\frac{3}{8}\)cm
  • D. 2\(\frac{3}{8}\)cm
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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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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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