## Triangle Dissection

#### Problem

It is possible to split up an equilateral triangle to make four smaller equilateral triangles.

How would you split up an equilateral triangle to make six smaller equilateral triangles, that need not all be the same size?

#### Solution

It can be done as follows.

Can you split the triangle to form two smaller equilateral triangles?

What number of smaller equilateral triangles can you make and which ones are not possible?

Problem ID: 19 (Oct 2000) Difficulty: 1 Star