Why same areas? (2)
Given a triangle ABC, AE, BF and CD are 3 medians, which intersect at the centroid G. H, I and J are the midpoints of lines BG, CG and AG respectively.
1. Prove that quadrilaterals AJHB, HBCI and ICAJ are trapeziums.
2. Prove that those 3 trapezium areas are the same.
(Hint: Consider similar triangles)