In the figure, TSP = PRQ, QR = 8cm, PR = 6cm and ST = 12cm. Find the length SP
Attached Figure / Diagram
A
4cm
B
16cm
C
9cm
D
14cm
E
Impossible, insufficient data
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{PQ}{6 + RT} = \frac{6}{12} = \frac{6}{PS}\)(Similar triangles)
\(\frac{6}{12} = \frac{8}{PS}\)
PS = \(\frac{12 \times 8}{6}\)
= 16cm
Source: Myschool Past Questions Archive (Record #32783)