All triangles can tessellate.
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They can tesselate - provided they are the correct shapes.
Because angles on a straight line add up to 180 degrees and the 3 interior angles of any triangle add up to 180 degrees. So it follows that all triangles will tessellate.
No
Yes. Can it tesselate R^3? Only if its base pentagon is non-regular.
there are loads. ones that do tesselate are hexagons, squares and triangles but none of the others tesselate