|
In the figure below, given a
triangle AED, M and N are the midpoints of cevians AC and DB
respectively. If S1 and S are the areas of the triangle MEN and
the quadrilateral ABCD respectively, prove
that:
 .
Post a comment.
 |
FACTS AND HINTS:
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."
1. CEVIAN:
A cevian is a line segment which joins a vertex of a triangle with a point on the opposite side (or its extension).
2. See Proposed Problem
87
2. See Proposed Problem
89
|
