Discussion
How many triangles are there in the given figure?
Answer: B
The figure has 12 triangles.
The square with both diagonals has 4 small triangles and 4 larger triangles made of two neighbouring ones, which is 8 triangles in all. The block with one diagonal has 4 more triangles formed between the diagonal, the sides of the block and the inner line: the large one at the bottom, the small one at the bottom left, the one against the top line, and the small one against the inner line. That is 8 + 4 = 12.
9, 10 and 8 miss some of the triangles formed by combining parts.
Count in groups to avoid missing any. The crossed square has its four small triangles and four larger ones made of two small ones. The diagonal block has two triangles on each side of the inner line and the big ones that use the whole diagonal. Adding the groups gives 12.
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