How many triangles are there in the given figure?
12
This is a figure-counting (visual) problem; the approach is stated in principle since the figure itself is not reproduced.
As before, triangles are counted in size classes to keep the tally complete and free of repetition.
Begin with the smallest triangles produced where the slanted internal lines cross one another.
Then count the medium triangles, each made by combining two neighbouring small triangles.
Finally count the larger triangles that borrow the outer edges of the figure as their sides.
Summing across every size class yields the total number of triangles, which works out to twelve.
Hence, using orderly size-wise counting rather than invented specifics, the number of triangles is 12.
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