
The figure below shows a square ABCD of side
"a" and the square AGHM. The circle O of radius OH = GH/2 is
tangent to BC, CD and EF. Prove that .
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.
