In equilateral triangle ABC, line segments are drawn from a point P to the vertices A,B and C to form three identical triangles. The points D,E and F are the midpoints of the three sides and they are joined as shown in the diagram. What fraction of \triangle{ABC} is shaded?
Answer Choices
A. \frac15
B. \frac{5}{24}
C. \frac14
D. \frac29
E. \frac27