Question

in a triangle ABC is a midpoint of median AD, show that area of ABE=area of ace and area of abe=1/4area of ABC

Answer 1

area of ABD= area of ACD(median AD divides a triangle into 2 triangles of equal area)
area of EBD=area of ECD (median ED)
area of ABD-area of EBD=area of ACD-area of ECD
area of ABE=area of ACE
area of all four triangles are equal.
area of ABE=area of ACE=1/4of triangle ABC