Geometry Problems, Online Education

 Problem 124. Area of triangle, Similarity. Level: High School, SAT Prep, College

In the figure below, prove that the area S1 of the central triangle region DFH determined by trisection of each side of a triangle ABC and connecting the corresponding points A', A", B', B", C', and C" with the opposite vertex is given by 1/25 the area of triangle ABC.
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Elearning 124: Triangle, Area, Similarity


 

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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