
The figure below shows a semicircle O with
diameter AB = 12. Arc AC = 135 degrees and D is the midpoint of chord
AC. Find the shaded area bounded by CD, BD and arc BC.
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.
