In the diagram, HK is parallel to QR, PH = 4cm and HQ = 3cm. What is the ratio of KR:PR?
Attached Figure / Diagram
A
7:3
B
3:7
C
3:4
D
4:3
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #32897)