Mathematics Geometry-Traingle

Question

In triangle ABC, D is the midpoint of BC, E is the midpoint of AB, P is a point on side AC such that AP: PC =2:1 and Q is a point on AB such that QC is parallel to EP.

What fraction of the area of triangle ABC is triangle QDP?

Answer 1

After carefully sketching the parts of this very challenging problem and knowing the rules with parallel lines and similarity and congruent triangles

the fraction of the area of triangle QDP in triangle ABC is 1/6 !! using the ratios given