Q227
In ΔABC, AD is a median and P is a point on AC such that AP : PD = 3 : 4. Then ar (ΔAPB) : ar (ΔABC) is equal to:
A.
2 : 7
B.
3 : 4
C.
3 : 7
D.
3 : 14
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:

ΔAPB = 3
ΔABC = 7 + 7 = 14
(median divide into two equal part)
ΔAPB : ΔABC = 3 : 14