median
don steward
mathematics teaching 10 ~ 16

Thursday 20 October 2016

triangles cut into triangles

the main purpose of this work is to provide a focus on triangle areas
particularly with same bases and equal heights (Euclid I. 37)
but there are various optional spin-offs:
  • perpendicular lines
  • surd lengths
  • length and area ratios of similar shapes



questions for the triangles above


the team at Puntmat (@puntmat) have found 8 ways (so far) to cut up a 3 by 6 right triangle into three equal areas (i.e. non-congruent thirds):


their post on fractions of geometrical shapes contains many good exercises

many thanks to them











dividing unequally:

No comments: