Wednesday, November 9, 2011

New Challenge!! Triangle Area Ratios


What is the Relationship between Triangles? 
In triangle ABC, segment AG from vertex meets opposite side BC at a point G, with the length of CG 1/3 the length of BC. That is, point is located 1/3 of the way along segment BC from C. Similarly, points and are located at 1/3 marks along the other two sides of triangle ABC. The intersections of these segments are the vertices of another triangle, IJH, in the interior of triangle ABC.
What is the relationship between the areas of triangles ABC and IJH?

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