MHB Are there GRE options for triangles?

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The discussion centers on the relationship between angles and sides in triangles, specifically referencing the GRE. It highlights that the larger angle in a triangle is always opposite the longer side. Participants express varying levels of confidence in answering related questions. The conversation suggests that understanding this principle is crucial for GRE preparation. Mastery of triangle properties can significantly aid in solving geometry problems on the exam.
karush
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actually I didn't find this a slam dunk question...
 
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larger angle is opposite the longer side
 
that was quick :cool:
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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