
The figure below shows the circles O and Q
tangent at A. QO extended cuts circle O at B and diameter CD is
perpendicular to BQ at Q. E is a point on circle O and QE extended cuts
circle O at F. If FE = 5 and EQ = 3, find the area of triangle BCD.
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.
