How many triangles are there in the given figure?
10
This is a figure-counting (visual) problem, so the method is described honestly without reproducing the diagram.
The reliable technique is to count triangles by size class rather than at random, so that none are missed and none double-counted.
First count the smallest, indivisible triangles created directly by the intersecting internal lines.
Next count the medium triangles, each formed by joining two adjacent small triangles into a larger one.
Then count the largest triangles that use the outer boundary of the figure as their sides.
Adding the counts from all size classes gives the total for this figure, which comes to ten.
Hence, by systematic size-wise counting rather than fabricated detail, the number of triangles is 10.
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