The figure below shows a triangle ABC with
the incircle O tangent to AB, BC, and AC at E, F, and D, respectively.
GH is parallel to AC and tangent to the circle O.If AE = 7, EG = 1, and
FH = 2, find CF.
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."
