id: 05526919
dt: j
an: 2009b.00346
au: Roelens, Michel
ti: The sum of the distances to the sides of a triangle. (De som van de
afstanden tot de zijden van een driehoek.)
so: Uitwiskeling 22, No. 3, 8-12 (2006).
py: 2006
pu: Uitwiskeling - administratie, Nieuwrode
la: NL
cc: G40
ut: triangle geometry; problem-solving strategies; plane geometry; geometry in
three dimensions; geometric loci
ci:
li:
ab: 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.
rv: