Problem
1086: Square, Circle, Arc, Center, Metric Relations
Level: High School, College, Math Education The figure below shows a square ABCD of center O and arcs FE and GH of
centers D and A passing through O, respectively. If OE = 5, find EH.
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 illstructured 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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