The drawing shows a triangle ABC, M is
the center of the square ABCD of area 32, N is the center of the
square BCEF of area 46, and MNPQ is a square of area 67. Find
the area of triangle ABC.
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."
