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

Home » Past Questions » Mathematics » Jamb » 1993 » 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.

  • 6\(\frac{3}{4}\)cm checkmark
  • 3\(\frac{3}{8}\)cm
  • 4\(\frac{3}{8}\)cm
  • 2\(\frac{3}{8}\)cm

The correct answer is: 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

Previous Question Next Question

Leave A Comment