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 ill-structured problem. By “construction,” we mean adding geometric figures (points, lines, planes) to a problem figure that wasn’t mentioned as "given."