Problem: Medians AD and CE of triangle ABC intersect in M. The midpoint of AE is N. Let the area of triangle MNE=k times the area of triangle ABC. Then k equals:
Answer Choices:
A. 61​
B. 81​
C. 91​
D. 121​
E. 161​
Solution:
Area (△MNE)=21​ Area ( △ MAE) =21​⋅31​ Area (△ CAE )=21​⋅31​⋅21​ Area ( △ ABC) \therefore k=\dfrac{1}