id: 06426700
dt: j
an: 2015c.00687
au: Glaister, Elizabeth M.; Glaister, Paul
ti: Trisecting a tri-angle.
so: Math. Sch. (Leicester) 44, No. 1, 5-7 (2015).
py: 2015
pu: Mathematical Association (MA), Leicester
la: EN
cc: G40 U70
ut: elementary geometry; plane geometry; triangles; trisection of area;
centroid; geometry software; discovery learning
ci:
li:
ab: From the text: In Triangle Land everyone lives on a triangular plot of
land. Every couple who has children has one pair of twins. When the
children reach the age of 18 the parents divide the land into three
plots of equal area, with the parents having one plot and the children
each having one of the other plots. How should they set about dividing
their plot into three equal parts? This problem gives students the
opportunity to learn and use some geometry. We suggest some solutions
which students may propose themselves or have suggested to them. They
could use Geogebra to experiment with finding solutions that give equal
area, as well as discover or try the suggested solutions here,
verifying that the areas are equal and then attempting to prove why the
areas must be equal. One can also pose this problem in terms of
dividing a triangular piece of cake into three equal pieces. Variations
of this problem with different numbers of pieces of land/cake are
possible, which we leave readers to think about.
rv: