|
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
|
