Triangles in a Grid

Geometry Level 3

In the image above we have a grid with 9 points in it. We have the draw of a triangle in it's points, and the triangle have an area of 1 cm 2 \text{cm}^{2} .

How many triangles of area 1 cm 2 \text{cm}^{2} we can draw in this grid, including the symmetry ones.


The answer is 32.

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