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
Correct Answer: Option B
Explanation
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