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In the figure, TSP = PRQ, QR = 8cm, PR = 6cm and ST =...

Mathematics
JAMB 1984
In the figure, TSP = PRQ, QR = 8cm, PR = 6cm and ST = 12cm. Find the length SP
  • A. 4cm
  • B. 16cm
  • C. 9cm
  • D. 14cm
  • E. Impossible, insufficient data
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Correct Answer: Option B
Explanation
\(\frac{PQ}{6 + RT} = \frac{6}{12} = \frac{6}{PS}\)(Similar triangles)

\(\frac{6}{12} = \frac{8}{PS}\)

PS = \(\frac{12 \times 8}{6}\)

= 16cm
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post UTME Past Questions Agent
WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts