Skip over navigation
Guide and features
Guide and features
Science, Technology, Engineering and Mathematics
Featured Early Years Foundation Stage; US Kindergarten
Featured UK Key Stage 1&2; US Grades 1-4
Featured UK Key Stage 3-5; US Grades 5-12
Featured UK Key Stage 1, US Grade 1 & 2
Featured UK Key Stage 2; US Grade 3 & 4
Featured UK Key Stages 3 & 4; US Grade 5-10
Featured UK Key Stage 4 & 5; US Grade 11 & 12
Close to Triangular
Here are the coordinates of nine points. It is possible to draw a triangle so that the shortest distance from each point to the triangle is at most one unit.
Can you find a suitable triangle? Is there more than one possibility?
Given three points, it is
possible to draw different triangles with edges passing through those three points - here are some examples of triangles going through the same three points:
Can you convince yourself that there are always
Here are some examples of different triangles going through the same set of four points:
Is it always possible to draw triangles through a set of four points, whatever their position?
Investigate some examples and explain your findings.
What happens when we try to draw triangles through five points?
Making and proving conjectures
Straight edge & compass constructions
Mathematical reasoning & proof
Cartesian equations of lines
Summation of series
Meet the team
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
Register for our mailing list
Copyright © 1997 - 2014. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the
Millennium Mathematics Project