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In the figure below, given a triangle
ABC of area S. Let be S1 the area of the
central star determined by the triangles DFH and EGM. D, E, F,
G, H, and M are determined by trisection of each
side of the triangle ABC and connecting the corresponding points
A', A", B', B", C', and C" with the opposite vertex.
Prove that
 .
Post a comment or solution.
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FACTS AND HINTS:
Geometry problem solving is one of the most challenging skills for students to learn. When a
problem requires auxiliary construction, the difficulty of the problem increases drastically, perhaps because deciding which construction to make is an ill-structured problem. By “construction,” we mean adding geometric figures (points, lines, planes) to a problem figure that wasn’t mentioned as "given."
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