Question: The centroid of a $ \Delta ABC $ is G. The area of $ \Delta ABC $ is $ 60cm^{2}. $ The area of $ \Delta GBC $ is
Options:
A) $ 40,cm^{2} $
B) $ 20,cm^{2} $
C) $ 30,cm^{2} $
D) $ 10,cm^{2} $
Show Answer
Answer:
Correct Answer: B
Solution:
- Area of $ \Delta ABC=60cm^{2} $
$ \because $ $ AG:GE=2:1 $
$ \therefore $ Area of $ \Delta GBC=\frac{1}{3}\times 60 $
$ =20,cm^{2} $