How many triangles?

     

Solution to the Problem:

  There are 56 triangles total in the Snowflake design.

  • There are 5 in the big equilateral triangle split into smaller equilateral triangles.
  • There are 3 inside the central small equilateral triangle using the center vertex.
  • There are 18 (3 * 6) with the extra hexagonal sides around the small equilateral triangle.
  • There are 30 (3 * 10) with the extra hexagonal sides around the large equilateral triangle.

Correctly solved by:

1. Bryant Nelson Mountain View High School,
Mountain View, Wyoming
2. Rick Jones Kennett Square, Pennsylvania
3. Hugo Cnockaert John Handley High School,
Winchester, Virginia
4. Justin Huff John Handley High School,
Winchester, Virginia
5. Patrick Baker John Handley High School,
Winchester, Virginia
6. Anna Szentirmai John Handley High School,
Winchester, Virginia
7. Deborah Cotter's Period 1 Individual Math Class Algonquin Regional High School,
Northborough, Massachusetts