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Counting triangles

Counting triangles

The design shown above is made entirely of triangles. How many
triangles, of all sizes, do you think there are? Altogether, there are
88 triangles! See if you can find them all.

There are 42 triangles of this size, pointing in all directions.

There are 26 triangles of this size, 13 pointing up and 13 pointing
down.

There are 12 triangles of this size, 6 pointing up and 6 pointing down.

There are 6 triangles of this size, 3 pointing- up and 3 pointing down.

And there are 2 triangles of this size, 1 pointing up and 1 pointing
down.

That makes 88 triangles altogether. Did you find them all? Or did you
get dizzy before you finished?

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