How many triangles are there in the given figure?
3
We must count every triangle, both the simple ones and any larger triangle formed by combining regions in the figure.
The figure is a five sided (house shaped) outline with an apex at the top, and two straight lines run downward from that apex to the lower boundary.
These two lines starting from the same top vertex divide the upper part of the figure into three separate closed triangles.
Counting them one by one: the left triangle, the middle triangle and the right triangle formed between the two internal lines and the sides.
No larger triangle is closed, because the outer shape is a pentagon rather than a triangle, so combined regions do not form a fresh triangle.
The lower regions at the base are four sided, not triangular, so they add nothing to the count.
Adding up, the total number of triangles is 3.
Hence the figure contains 3 triangles.
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