
05526919
j
2009b.00346
Roelens, Michel
The sum of the distances to the sides of a triangle. (De som van de afstanden tot de zijden van een driehoek.)
Uitwiskeling 22, No. 3, 812 (2006).
2006
Uitwiskeling  administratie, Nieuwrode
NL
G40
triangle geometry
problemsolving strategies
plane geometry
geometry in three dimensions
geometric loci
Summary: The author states that a teacher should, from time to time, solve a new problem in order to stay `fit' mathematically and to feel what pupils feel when they are confronted with an new problem. He tells about a beautiful problem he recently tried to solve: ``what is the locus of the points such that the sum of the distances to the sides of a given triangle is a fixed number?" The author found a solution using three dimensional space, and this helped him to find a simpler, plane solution.