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}