How many triangles do you see here?

Many give different answers because they only count the obvious ones or get lost in the jumble of shapes. But if you take a methodical approach, the correct number reveals itself.

The trick to solving this is to break the figure into parts. Instead of just eyeballing it, divide the puzzle and count each section separately before adding them up.

Here’s how:

  • Start with the tiniest triangles at the base. Count each one.
  • Move on to medium-sized ones, which usually form from two or more small triangles. Be careful not to count the same area twice.
  • Don’t overlook the large triangles. The whole puzzle might form one or more of these, and they’re easy to miss.
  • Watch for overlapping triangles. These hidden ones are the hardest to spot but crucial for the right total.

If counting by eye is too much, there’s a smart math trick. Break the figure into units and use a formula to quickly and accurately tally the triangles.