Attachment:
GRE In right triangle.jpg
In right triangle \(\triangle ABC\), \(∠C\) is a right angle; \(\overline{DE}\) is parallel to \(\overline {AB}\); and D and E are the midpoints of \(\overline {CA}\) and \(\overline{ CB}\) , respectively. Each shaded triangle is similar to \(\triangle ABC\), and the shaded triangles are congruent to one another. What fraction of the area of \(\triangle ABC\) is shaded?
A. 1/8
B. 1/4
C. 1/3
D. 1/2
E. 3/4
Kudos for the right answer and explanation