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Online Geometry Problem 877: Square, Right Triangle, Similarity, Metric Relations, Transversal. Level: High School, Honors Geometry, College, Mathematics Education

In a square ABCD, E is a point on CD and AE extended cuts BC extended at F. If AE =30 and EF = 10, find AB.

 

Geometry Problem: Square, Transversal
 

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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