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

  • A 7:3
  • B 3:7
  • C 3:4
  • D 4:3
jamb 1989mathematics

The correct answer is B. 3:7

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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