Median AM and CN of △ABC intersect at point O. What part of area of △ABC is the area of △AON?

Question

Median 

AM

  and 

CN

  of △ABC intersect at point O. What part of area of △ABC is the area of △AON?    

Answer 1

the three medians of a triangle divide the triangle into six smaller triangles

the six triangles all have the same area even though the triangles are not congruent

this can be proven-look it up on the web

therefore, triangle AON is 1/6 the area of triangle ABC