Problem 291: Triangle, Circle, Circumradius, Perpendicular
Level: High School, College, SAT Prep.
In the figure below, ABC is a triangle with circumradius R. DE is
perpendicular to BC and DF is perpendicular to AB.
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."