In the diagram, QPS = SPR, PR = 9cm. PQ = 4cm and QS = 3cm, find SR.
Attached Figure / Diagram
A
6\(\frac{3}{4}\)cm
B
3\(\frac{3}{8}\)cm
C
4\(\frac{3}{8}\)cm
D
2\(\frac{3}{8}\)cm
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #33005)