Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?
Using LOGO, can you construct elegant procedures that will draw
this family of 'floor coverings'?
Recreating the designs in this challenge requires you to break a
problem down into manageable chunks and use the relationships
between triangles and hexagons. An exercise in detail and elegance.
The diagram shows two equilateral triangles. What is the value of x?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.