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Problem 514: Triangle, Five Squares, Line, Area.
Level: High School, College, SAT Prep. The drawing shows the squares of area A1, A2, A3, A4,
and A5. Prove that the area of triangle A equals A3.
Geometry problem solving
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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