In the diagram, HK is parallel to QR, PH = 4cm and HQ = 3cm….

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Mathematics JAMB 1989

In the diagram, HK is parallel to QR, PH = 4cm and HQ = 3cm. What is the ratio of KR:PR?

  • 7:3
  • 3:7 checkmark
  • 3:4
  • 4:3

The correct answer is: B

Explanation

In \(\bigtriangleup\)PHK and \(\bigtriangleup\)PAR = \(\frac{PH}{PQ} = \frac{PK}{PR}\)

\(\frac{4}{7} \times \frac{PR-KR}{PR}\)

4PR = 7(PR - KR) = 7PR - 7KR

\(\frac{KR}{PR} = \frac{3}{7}\)

KR:PR = 3:7
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