Six. This is true even if the triangle is thin, flat, or scalene, unless it's an unusual tesselation.
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The tessellating shape can have 3, 4 or 6 sides.
400
There are infinitely many even on the plane and infintely more in space.For Example:Take a square, draw the diagonals.The meeting point of the dialgonals is the vertex where three polygons (in this case triangles) meet.
an infinite number
The flag of Qatar consists of a serrated line with nine points, so technically there are no triangles. If one considers each point to be a triangle extension of the solid color, then there are 19 triangles (9 white, 10 red).